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Data publikacji: 4 czerwca 2021
Data aktualizacji: 25 lipca 2025

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1

Röttger, Christian Gottfried Johannes. "Counting problems in algebraic number theory." Thesis, University of East Anglia, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.327407.

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2

Swanson, Colleen M. "Algebraic number fields and codes /." Connect to online version, 2006. http://ada.mtholyoke.edu/setr/websrc/pdfs/www/2006/172.pdf.

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3

Hughes, Garry. "Distribution of additive functions in algebraic number fields." Title page, contents and summary only, 1987. http://web4.library.adelaide.edu.au/theses/09SM/09smh893.pdf.

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4

McCoy, Daisy Cox. "Irreducible elements in algebraic number fields." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/39950.

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5

Gaertner, Nathaniel Allen. "Special Cases of Density Theorems in Algebraic Number Theory." Thesis, Virginia Tech, 2006. http://hdl.handle.net/10919/33153.

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This paper discusses the concepts in algebraic and analytic number theory used in the proofs of Dirichlet's and Cheboterev's density theorems. It presents special cases of results due to the latter theorem for which greatly simplified proofs exist.<br>Master of Science
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6

PASINI, FEDERICO WILLIAM. "Classifying spaces for knots: new bridges between knot theory and algebraic number theory." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/129230.

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In this thesis we discuss how, in the context of knot theory, the classifying space of a knot group for the family of meridians arises naturally. We provide an explicit construction of a model for that space, which is particularly nice in the case of a prime knot. We then show that this classifying space controls the behaviour of the finite branched coverings of the knot. We present a 9-term exact sequence for knot groups that strongly resembles the Poitou-Tate exact sequence for algebraic number fields. Finally, we show that the homology of the classifying space behaves towards the former seq
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7

Rozario, Rebecca. "The Distribution of the Irreducibles in an Algebraic Number Field." Fogler Library, University of Maine, 2003. http://www.library.umaine.edu/theses/pdf/RozarioR2003.pdf.

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8

Nyqvist, Robert. "Algebraic Dynamical Systems, Analytical Results and Numerical Simulations." Doctoral thesis, Växjö : Växjö University Press, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1142.

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9

Yan, Song Yuan. "On the algebraic theories and computations of amicable numbers." Thesis, University of York, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284133.

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10

Haydon, James Henri. "Étale homotopy sections of algebraic varieties." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:88019ba2-a589-4179-ad7f-1eea234d284c.

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We define and study the fundamental pro-finite 2-groupoid of varieties X defined over a field k. This is a higher algebraic invariant of a scheme X, analogous to the higher fundamental path 2-groupoids as defined for topological spaces. This invariant is related to previously defined invariants, for example the absolute Galois group of a field, and Grothendieck’s étale fundamental group. The special case of Brauer-Severi varieties is considered, in which case a “sections conjecture” type theorem is proved. It is shown that a Brauer-Severi variety X has a rational point if and only if its étale
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11

Green, Benjamin. "Galois representations attached to algebraic automorphic representations." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:77f01cbc-65d1-480d-ae3a-0a039a76671a.

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This thesis is concerned with the Langlands program; namely the global Langlands correspondence, Langlands functoriality, and a conjecture of Gross. In chapter 1, we cover the most important background material needed for this thesis. This includes material on reductive groups and their root data, the definition of automorphic representations and a general overview of the Langlands program, and Gross' conjecture concerning attaching l-adic Galois representations to automorphic representations on certain reductive groups G over &Qopf;. In chapter 2, we show that odd-dimensional definite unitary
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12

Meyer, Nicolas David. "Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One." OpenSIUC, 2015. https://opensiuc.lib.siu.edu/dissertations/1026.

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For definite quadratic lattices over the rings of integers of algebraic number fields, it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.
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13

Trad, Mohamad. "The proof of Fermat's last theorem." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1690.

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14

Blackhurst, Jonathan H. "Proven Cases of a Generalization of Serre's Conjecture." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1386.pdf.

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15

Cobbe, Alessandro. "Steinitz classes of tamely rami ed Galois extensions of algebraic number fields." Doctoral thesis, Scuola Normale Superiore, 2009. http://hdl.handle.net/11384/85661.

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16

Briggs, Matthew Edward. "An Introduction to the General Number Field Sieve." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36618.

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With the proliferation of computers into homes and businesses and the explosive growth rate of the Internet, the ability to conduct secure electronic communications and transactions has become an issue of vital concern. One of the most prominent systems for securing electronic information, known as RSA, relies upon the fact that it is computationally difficult to factor a "large" integer into its component prime integers. If an efficient algorithm is developed that can factor any arbitrarily large integer in a "reasonable" amount of time, the security value of the RSA system would be nullified
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17

Suresh, Arvind. "On the Characterization of Prime Sets of Polynomials by Congruence Conditions." Scholarship @ Claremont, 2015. http://scholarship.claremont.edu/cmc_theses/993.

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This project is concerned with the set of primes modulo which some monic, irreducible polynomial over the integers has a root, called the Prime Set of the polynomial. We completely characterise these sets for degree 2 polynomials, and develop sufficient machinery from algebraic number theory to show that if the Galois group of a monic, irreducible polynomial over the integers is abelian, then its Prime Set can be written as the union of primes in some congruence classes modulo some integer.
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18

Banaszak, Grzegorz. "Algebraic K-theory of number fields and rings of integers and the Stickelberger ideal /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487676261012829.

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19

Kaplan, Elliot. "Initial Embeddings in the Surreal Number Tree." Ohio University Honors Tutorial College / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1429615758.

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20

Hsu, Catherine. "Higher Congruences Between Modular Forms." Thesis, University of Oregon, 2018. http://hdl.handle.net/1794/23742.

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In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally principal. In this dissertation, we re-examine Eisenstein congruences, incorporating a notion of “depth of congruence,” in order to understand the local structure of Eisenstein ideals associated to weight 2 cusp forms of squarefree level N. Specifically, we use a commutative algebra result of Berger, Klosin, and Kramer to bound the depth of mod p Eise
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21

Silberstein, Aaron. "Anabelian Intersection Theory." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10141.

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Let F be a field finitely generated and of transcendence degree 2 over \(\bar{\mathbb{Q}}\). We describe a correspondence between the smooth algebraic surfaces X defined over \(\bar{\mathbb{Q}}\) with field of rational functions F and Florian Pop’s geometric sets of prime divisors on \(Gal(\bar{F}/F)\), which are purely group-theoretical objects. This allows us to give a strong anabelian theorem for these surfaces. As a corollary, for each number field K, we give a method to construct infinitely many profinite groups \(\Gamma\) such that \(Out_{cont} (\Gamma)\) is isomorphic to \(Gal(\bar{K}/K
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22

Dang, Vinh Xuan. "Three-Dimensional Galois Representations and a Conjecture of Ash, Doud, and Pollack." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/2697.

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In the 1970s and 1980s, Jean-Pierre Serre formulated a conjecture connecting two-dimensional Galois representations and modular forms. The conjecture came to be known as Serre's modularity conjecture. It was recently proved by Khare and Wintenberger in 2008. Serre's conjecture has various important consequences in number theory. Most notably, it played a key role in the proof of Fermat's last theorem. A natural question is, what is the analogue of Serre's conjecture for higher dimensional Galois representations? In 2002, Ash, Doud and Pollack formulated a precise statement for a higher dimensi
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23

Munoz, Susana L. "A Fundamental Unit of O_K." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/133.

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In the classical case we make use of Pells equation to compute units in the ring OF. Consider the parallel to the classical case and the quadratic field extension that creates the ring OK. We use the generalized Pell's equation to find the units in this ring since they are solutions. Through the use of continued fractions we may further characterize this ring and compute its units.
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24

Harper, John-Paul. "The class number one problem in function fields." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53619.

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Thesis (MComm)--Stellenbosch University, 2003.<br>ENGLISH ABSTRACT: In this dissertation I investigate the class number one problem in function fields. More precisely I give a survey of the current state of research into extensions of a rational function field over a finite field with principal ring of integers. I focus particularly on the quadratic case and throughout draw analogies and motivations from the classical number field situation. It was the "Prince of Mathematicians" C.F. Gauss who first undertook an in depth study of quadratic extensions of the rational numbers and the corre
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25

Massold, Heinrich. "Labile und relative Reduktionstheorie über Zahlkörpern." Bonn : Mathematisches Institut der Universität, 2003. http://catalog.hathitrust.org/api/volumes/oclc/54890700.html.

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26

Masters, Joseph David. "Lengths and homology of hyperbolic 3-manifolds /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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27

Vonk, Jan Bert. "The Atkin operator on spaces of overconvergent modular forms and arithmetic applications." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:081e4e46-80c1-41e7-9154-3181ccb36313.

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We investigate the action of the Atkin operator on spaces of overconvergent p-adic modular forms. Our contributions are both computational and geometric. We present several algorithms to compute the spectrum of the Atkin operator, as well as its p-adic variation as a function of the weight. As an application, we explicitly construct Heegner-type points on elliptic curves. We then make a geometric study of the Atkin operator, and prove a potential semi-stability theorem for correspondences. We explicitly determine the stable models of various Hecke operators on quaternionic Shimura curves, and
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28

Salt, Brittney M. "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/31.

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This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.
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29

Lavallee, Melisa Jean. "Dihedral quintic fields with a power basis." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/2788.

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Cryptography is defined to be the practice and studying of hiding information and is used in applications present today; examples include the security of ATM cards and computer passwords ([34]). In order to transform information to make it unreadable, one needs a series of algorithms. Many of these algorithms are based on elliptic curves because they require fewer bits. To use such algorithms, one must find the rational points on an elliptic curve. The study of Algebraic Number Theory, and in particular, rare objects known as power bases, help determine what these rational points are. With suc
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30

Rosca, Georgiana-Miruna. "On algebraic variants of Learning With Errors." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEN063.

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La cryptographie à base de réseaux euclidiens repose en grande partie sur l’utilisation du problème Learning With Errors (LWE) comme fondation de sécurité. Ce problème est au moins aussi difficile que les problèmes standards portant sur les réseaux, mais les primitives cryptographiques qui l’utilisent sont inefficaces en termes de consommation en temps et en espace. Les problèmes Polynomial Learning WithErrors (PLWE), dual Ring Learning With Errors (dual-RLWE) et primal Ring Learning With Errors(primal-RLWE) sont trois variantes de LWE qui utilisent des structures algébriques supplémentaires a
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31

Carlos, Tatiana Bertoldi. "Abordagem algebrica e geometrica de reticulados." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306605.

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Orientador: Sueli Irene Rodrigues Costa<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-10T04:41:55Z (GMT). No. of bitstreams: 1 Carlos_TatianaBertoldi_D.pdf: 779190 bytes, checksum: d0ff8f53ff44a5f19c7edb1427cd1a82 (MD5) Previous issue date: 2007<br>Resumo: Neste trabalho abordamos a construção de reticulados usando propriedades da teoria dos números algébricos. Enfocamos particularmente a construção, como reticulado ideal, de rotações do reticulado n-dimensional dos inteiros, usando
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32

Backman, Spencer Christopher Foster. "Combinatorial divisor theory for graphs." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/51908.

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Chip-firing is a deceptively simple game played on the vertices of a graph, which was independently discovered in probability theory, poset theory, graph theory, and statistical physics. In recent years, chip-firing has been employed in the development of a theory of divisors on graphs analogous to the classical theory for Riemann surfaces. In particular, Baker and Norin were able to use this set up to prove a combinatorial Riemann-Roch formula, whose classical counterpart is one of the cornerstones of modern algebraic geometry. It is now understood that the relationship between divisor theor
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33

Truman, Paul James. "Hopf-Galois module structure of some tamely ramified extensions." Thesis, University of Exeter, 2009. http://hdl.handle.net/10036/71817.

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We study the Hopf-Galois module structure of algebraic integers in some finite extensions of $ p $-adic fields and number fields which are at most tamely ramified. We show that if $ L/K $ is a finite unramified extension of $ p $-adic fields which is Hopf-Galois for some Hopf algebra $ H $ then the ring of algebraic integers $ \OL $ is a free module of rank one over the associated order $ \AH $. If $ H $ is a commutative Hopf algebra, we show that this conclusion remains valid in finite ramified extensions of $ p $-adic fields if $ p $ does not divide the degree of the extension. We prove anal
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34

Rezola, Nolberto. "Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/205.

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The ring of integers is a very interesting ring, it has the amazing property that each of its elements may be expressed uniquely, up to order, as a product of prime elements. Unfortunately, not every ring possesses this property for its elements. The work of mathematicians like Kummer and Dedekind lead to the study of a special type of ring, which we now call a Dedekind domain, where even though unique prime factorization of elements may fail, the ideals of a Dedekind domain still enjoy the property of unique prime factorization into a product of prime ideals, up to order of the factors. This
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35

Usatine, Jeremy. "Arithmetical Graphs, Riemann-Roch Structure for Lattices, and the Frobenius Number Problem." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/hmc_theses/57.

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If R is a list of positive integers with greatest common denominator equal to 1, calculating the Frobenius number of R is in general NP-hard. Dino Lorenzini defines the arithmetical graph, which naturally arises in arithmetic geometry, and a notion of genus, the g-number, that in specific cases coincides with the Frobenius number of R. A result of Dino Lorenzini's gives a method for quickly calculating upper bounds for the g-number of arithmetical graphs. We discuss the arithmetic geometry related to arithmetical graphs and present an example of an arithmetical graph that arises in this contex
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36

Tenório, Wanderson [UNESP]. "Reticulados modulares em espaços euclidianos." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/86492.

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Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-02-22Bitstream added on 2014-06-13T20:28:31Z : No. of bitstreams: 1 tenorio_w_me_sjrp.pdf: 1508167 bytes, checksum: 36530f0c3764378ac3058a557c3597e5 (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>O objetivo deste trabalho é apresentar resultados sobre modularidade de reticulados. Mais especificamente, apresentamos as propriedades de um reticulado modular num espaço euclidiano arbitrário e a relação entre as theta séries de reticulados modulares pares e formas modu
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37

Tenório, Wanderson. "Reticulados modulares em espaços euclidianos /." São José do Rio Preto, 2013. http://hdl.handle.net/11449/86492.

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Orientador: Antonio Aparecido de Andrade<br>Banca: Edson Donizete de Carvalho<br>Banca: Clotilzio Moreira dos Santos<br>Resumo: O objetivo deste trabalho é apresentar resultados sobre modularidade de reticulados. Mais especificamente, apresentamos as propriedades de um reticulado modular num espaço euclidiano arbitrário e a relação entre as theta séries de reticulados modulares pares e formas modulares. Além disso, apresentamos o estudo de modularidade em reticulados ideais fornecendo condições de existência, construções e caracterização de reticulados ideais modulares para graus especiais em
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38

Aeal, Wemedh. "K-theory, chamber homology and base change for the p-ADIC groups SL(2), GL(1) and GL(2)." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/ktheory-chamber-homology-and-base-change-for-the-lowercasepadic-groups-sl2-gl1-and-gl2(974c74a7-83ff-4cb2-bbb8-e15cfbb8e2e1).html.

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The thrust of this thesis is to describe base change BC_E/F at the level of chamber homology and K-theory for some p-adic groups, such as SL(2,F), GL(1,F) and GL(2,F). Here F is a non-archimedean local field and E is a Galois extension of F. We have had to master the representation theory of SL(2) and GL(2) including the Langlands parameters. The main result is an explicit computation of the effect of base change on the chamber homology groups, each of which is constructed from cycles. This will have an important connection with the Baum-Connes correspondence for such p-adic groups. This thesi
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39

Myerson, Simon L. Rydin. "Systems of forms in many variables." Thesis, University of Oxford, 2016. http://ora.ox.ac.uk/objects/uuid:a9932e90-4784-466a-a694-d387c1228533.

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We consider systems of polynomial equations and inequalities to be solved in integers. By applying the circle method, when the number of variables is large and the system is geometrically well-behaved we give an asymptotic estimate for the number of solutions of bounded size. In the case of R homogeneous equations having the same degree d, a classic theorem of Birch provides such an estimate provided the number of variables is R(R+1)(d-1)2<sup>d-1</sup>+R or greater and the system is nonsingular. In many cases this conclusion has been improved, but except in the case of diagonal equations the
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40

Silva, Alexsandro BelÃm da. "FamÃlias infinitas de corpos quadrÃticos imaginÃrios." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5664.

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FundaÃÃo de Amparo à Pesquisa do Estado do CearÃ<br>CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Seja &#8467; > 3 um primo Ãmpar. Sejam So, S+, S_ conjuntos finitos mutuamente disjuntos de primos racionais. Para qualquer nÃmero real suficientemente grande X > 0, baseando-nos em [16], damos neste trabalho, um limite inferior do nÃmero de corpos quadrÃticos imaginÃrios k que satisfazem as seguintes condiÃÃes: o discriminante de k à maior que -X o nÃmero de classe de k à nÃo divisÃvel por &#8467;, todo q â So se ramifica, todo q â S+ se decompÃe e todo q â S_ à inerte em k, resp
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41

Santos, Jefferson Marques. "Altura e equidistribuição de pontos algébricos." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/7564.

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Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2017-07-05T14:04:12Z No. of bitstreams: 2 Dissertação - Jefferson Marques Santos - 2017.pdf: 1510253 bytes, checksum: fa6dbf92bac6614d3ce705a47bbe41b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-07-10T14:31:22Z (GMT) No. of bitstreams: 2 Dissertação - Jefferson Marques Santos - 2017.pdf: 1510253 bytes, checksum: fa6dbf92bac6614d3ce705a47bbe41b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>M
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42

Tyler, Michael Peter. "On the birational section conjecture over function fields." Thesis, University of Exeter, 2017. http://hdl.handle.net/10871/31600.

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The birational variant of Grothendieck's section conjecture proposes a characterisation of the rational points of a curve over a finitely generated field over Q in terms of the sections of the absolute Galois group of its function field. While the p-adic version of the birational section conjecture has been proven by Jochen Koenigsmann, and improved upon by Florian Pop, the conjecture in its original form remains very much open. One hopes to deduce the birational section conjecture over number fields from the p-adic version by invoking a local-global principle, but if this is achieved the prob
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43

Cox, Robert F. "Case studies of employee participation programs in construction and their effects on absenteeism." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/40050.

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44

Weinstein, Madeleine. "Adinkras and Arithmetical Graphs." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/hmc_theses/85.

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Adinkras and arithmetical graphs have divergent origins. In the spirit of Feynman diagrams, adinkras encode representations of supersymmetry algebras as graphs with additional structures. Arithmetical graphs, on the other hand, arise in algebraic geometry, and give an arithmetical structure to a graph. In this thesis, we will interpret adinkras as arithmetical graphs and see what can be learned. Our work consists of three main strands. First, we investigate arithmetical structures on the underlying graph of an adinkra in the specific case where the underlying graph is a hypercube. We classify
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45

Montes, Jesús. "Polígonos de Newton de orden superior y aplicaciones aritméticas." Doctoral thesis, Universitat de Barcelona, 1999. http://hdl.handle.net/10803/31929.

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La teoría algebraica de números tiene sus inicios en los trabajos de Kummer sobre la ecuación de Fermat. En los anillos ciclotómicos deja de ser cierto el teorema fundamental de la aritmética: los elementos descomponen en producto de elementos "primos", pero no de manera única. Kummer, en una intuición genial, apuntó que esta dificultad podía salvarse considerando la existencia de números ideales que permitirían recuperar la unicidad en la descomposición en producto de números ideales primos. Estas ideas las culminó Dedekind en 1878 fundando la teoría de ideales tal como la conocemos hoy en dí
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46

Gounelas, Frank. "Free curves on varieties." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:3a7f6dba-fad2-4517-994e-0b51ea311df8.

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In this thesis we study various ways in which every two general points on a variety can be connected by curves of a fixed genus, thus mimicking the notion of a rationally connected variety but for arbitrary genus. We assume the existence of a covering family of curves which dominates the product of a variety with itself either by allowing the curves in the family to vary in moduli, or by assuming the family is trivial for some fixed curve of genus g. A suitably free curve will be one with a large unobstructed deformation space, the images of whose deformations can join any number of points on
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47

Souza, Vera Lúcia Graciani de. "Fatoração de inteiros e grupos sobre conicas." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306147.

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Orientador: Martinho da Costa Araujo<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas. Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-13T09:34:59Z (GMT). No. of bitstreams: 1 Souza_VeraLuciaGracianide_M.pdf: 1138543 bytes, checksum: 893a12834a41de0bedf2e0e1c71a3fc1 (MD5) Previous issue date: 2009<br>Resumo: Este trabalho tem por objetivo fatorar número inteiro utilizando pontos racionais sobre o círculo unitário. Igualmente pretende determinar alguns grupos sobre cônicas. A pesquisa inicia com os conceitos básicos
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48

Jorge, Grasiele Cristiane 1983. "Reticulados q-ários e algébricos." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306602.

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Orientador: Sueli Irene Rodrigues Costa<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Cientifica<br>Made available in DSpace on 2018-08-19T16:10:47Z (GMT). No. of bitstreams: 1 Jorge_GrasieleCristiane_D.pdf: 3823740 bytes, checksum: 772a88bd2136b4afb884a6e824f37bce (MD5) Previous issue date: 2012<br>Resumo: O uso de códigos e reticulados em teoria da informação e na "chamada criptografia pós-quântica" vem sendo cada vez mais explorado. Neste trabalho estudamos temas relacionados a estas duas vertentes. A análise de reticulados foi
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49

Benedito, Cintya Wink de Oliveira 1985. "Construção de grupos fuchsianos aritméticos provenientes de álgebras dos quatérnios e ordens maximais dos quatérnios associados a reticulados hiperbólicos." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/261092.

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Orientadores: Reginaldo Palazzo Júnior, Cátia Regina de Oliveira Quilles Queiroz<br>Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação<br>Made available in DSpace on 2018-08-25T14:53:45Z (GMT). No. of bitstreams: 1 Benedito_CintyaWinkdeOliveira_D.pdf: 1485856 bytes, checksum: 50adbb3cffa1343c4a0cd9b3d7586173 (MD5) Previous issue date: 2014<br>Resumo: Na busca por novos sistemas de comunicações muitos trabalhos têm sido realizados com o objetivo de obter constelações de sinais e códigos geometricamente uniformes no plano hiperbólico. Neste c
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50

Amorós, Carafí Laia. "Images of Galois representations and p-adic models of Shimura curves." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/471452.

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The Langlands program is a vast and unifying network of conjectures that connect the world of automorphic representations of reductive algebraic groups and the world of Galois representations. These conjectures associate an automorphic representation of a reductive algebraic group to every n-dimensional representation of a Galois group, and the other way around: they attach a Galois representation to any automorphic representation of a reductive algebraic group. Moreover, these correspondences are done in such a way that the automorphic L-functions attached to the two objects coincide. T
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