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Relevant bibliographies by topics / Artin L-functions

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Academic literature on the topic 'Artin L-functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Artin L-functions"

1

Cimpoeaş, Mircea, and Florin Nicolae. "Independence of Artin L-functions." Forum Mathematicum 31, no. 2 (2019): 529–34. http://dx.doi.org/10.1515/forum-2018-0185.

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AbstractLet {K/\mathbb{Q}} be a finite Galois extension. Let {\chi_{1},\ldots,\chi_{r}} be {r\geq 1} distinct characters of the Galois group with the associated Artin L-functions {L(s,\chi_{1}),\ldots,L(s,\chi_{r})}. Let {m\geq 0}. We prove that the derivatives {L^{(k)}(s,\chi_{j})}, {1\leq j\leq r}, {0\leq k\leq m}, are linearly independent over the field of meromorphic functions of order {<1}. From this it follows that the L-functions corresponding to the irreducible characters are algebraically independent over the field of meromorphic functions of order {<1}.

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Nicolae, Florin. "On holomorphic Artin L-functions." Monatshefte für Mathematik 186, no. 4 (2017): 679–83. http://dx.doi.org/10.1007/s00605-017-1120-4.

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Murty, M. Ram. "Selberg's Conjectures and Artin $L$-functions." Bulletin of the American Mathematical Society 31, no. 1 (1994): 1–15. http://dx.doi.org/10.1090/s0273-0979-1994-00479-3.

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Ward, Kenneth. "Values of twisted Artin L-functions." Archiv der Mathematik 103, no. 3 (2014): 285–90. http://dx.doi.org/10.1007/s00013-014-0692-7.

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Eyler, Mason, and Jaiung Jun. "Artin-Ihara L-functions for hypergraphs." Advances in Mathematics 450 (July 2024): 109745. http://dx.doi.org/10.1016/j.aim.2024.109745.

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Funakura, Takeo. "On Coefficients of Artin L Functions as Dirichlet Series." Canadian Mathematical Bulletin 33, no. 1 (1990): 50–54. http://dx.doi.org/10.4153/cmb-1990-008-1.

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AbstractThe paper is motivated by a result of Ankeny [1] above Dirichlet L functions in 1952. We generalize this from Dirichlet L functions to Artin L functions of relative abelian extensions, by complementing the ingenious proof of Ankeny's theorem given by Iwasaki [4]. Moreover, we characterize Dirichlet L functions in the class of all Artin L functions in terms of coefficients as Dirichlet series.

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Booker, Andrew. "Poles of Artin L-functions and the strong Artin conjecture." Annals of Mathematics 158, no. 3 (2003): 1089–98. http://dx.doi.org/10.4007/annals.2003.158.1089.

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Cho, Peter J., and Henry H. Kim. "Low lying zeros of Artin $$L$$ L -functions." Mathematische Zeitschrift 279, no. 3-4 (2014): 669–88. http://dx.doi.org/10.1007/s00209-014-1387-2.

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Cimpoeaş, Mircea, and Florin Nicolae. "Artin L-functions of almost monomial Galois groups." Forum Mathematicum 32, no. 4 (2020): 937–40. http://dx.doi.org/10.1515/forum-2019-0288.

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AbstractIf {K/\mathbb{Q}} is a finite Galois extension with an almost monomial Galois group and if {s_{0}\in\mathbb{C}\setminus\{1\}} is not a common zero for any two Artin L-functions associated to distinct complex irreducible characters of the Galois group, then all Artin L-functions of {K/\mathbb{Q}} are holomorphic at {s_{0}}. We present examples and basic properties of almost monomial groups.

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10

Stepanov, S. A. "On the structure of Artin $ L$-functions." Izvestiya: Mathematics 78, no. 1 (2014): 154–68. http://dx.doi.org/10.1070/im2014v078n01abeh002683.

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Dissertations / Theses on the topic "Artin L-functions"

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Bauer, Hartmut. "The distribution of values of Artin L-functions and applications /." Berlin, 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=96093927X.

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2

Smith, Barry Ried. "On the values of equivariant and Artin L-functions of cyclic extensions of number fields." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2007. http://wwwlib.umi.com/cr/ucsd/fullcit?p3259632.

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Thesis (Ph. D.)--University of California, San Diego, 2007.<br>Title from first page of PDF file (viewed June 11, 2007). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 177-181).

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Euvrard, Charlotte. "Aspects explicites des fonctions L et applications." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2074/document.

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Cette thèse s'intéresse aux fonctions L, à leurs aspects explicites et à leurs applications Dans le premier chapitre, nous donnons une définition précise de ce que nous appelons une fonction L ainsi que leurs principales propriétés, notamment concernant les invariants appelés paramètres locaux. Ensuite, nous traitons le cas des fonctions L d'Artin. Pour celles-ci, nous avons créé un programme dans le logiciel PARI/GP donnant les coefficients et les invariants d'une fonction L d'Artin lorsque le corps de base est Q.Le deuxième chapitre explicite un théorème dû à Henryk Iwaniec et Emmanuel Kowal

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Bailleul, Alexandre. "Étude de la répartition des automorphismes de Frobenius dans les groupes de Galois." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0203.

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Dans cette thèse, on s'intéresse à divers aspects de la théorie des courses de nombres premiers, initiée par Rubinstein et Sarnak en 1994. Dans le premier chapitre, on revient sur la méthode de Rubinstein et Sarnak, on fait un tour d'horizon de prolongements de leurs travaux, et on développe leur méthode dans un cadre général, en cherchant à s'affranchir le plus possible des hypothèses de travail de ceux-ci concernant l'indépendance linéaire des parties imaginaires des zéros non triviaux des fonctions L de Dirichlet. Dans le deuxième chapitre, on s'intéresse à la généralisation des problèmes d

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Hayani, Mounir. "Répartition probabiliste des nombres et idéaux premiers : conjecture de Hooley et biais de Chebyshev." Electronic Thesis or Diss., Bordeaux, 2025. http://www.theses.fr/2025BORD0065.

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Cette thèse s'intéresse à deux sujets importants en théorie analytique des nombres : le biais de Chebyshev dans les corps des nombres et la variance des nombres premiers dans les progressions arithmétiques. Le biais de Chebyshev désigne le fait que les nombres premiers tendent à favoriser certaines classes de résidus par rapport à d'autres. Ce phénomène a été observé pour la première fois par Chebyshev dans le cadre classique de la répartition des nombres premiers modulo 4 et a ensuite été étudié de façon systématique par Rubinstein et Sarnak via la notion de distribution limite et les zéros d

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Dejou, Gaëlle. "Conjecture de brumer-stark non abélienne." Phd thesis, Université Claude Bernard - Lyon I, 2011. http://tel.archives-ouvertes.fr/tel-00618624.

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La recherche d'annulateurs du groupe des classes d'idéaux d'une extension abélienne de Q est un sujet classique et remonte à des travaux de Kummer et Stickelberger. La conjecture de Brumer-Stark porte sur les extensions abéliennes de corps de nombres et prédit qu'un élément de l'anneau de groupe du groupe de Galois, appelé élément de Brumer-Stickelberger, est un annulateur du groupe des classes de l'extension. De plus, elle stipule que les générateurs des idéaux principaux obtenus possèdent des propriétés bien particulières. Cette thèse est dédiée à la généralisation de cette conjecture aux ex

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Langridge, Allan. "Values of Artin L-functions at s = 1." 2007. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=742428&T=F.

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"Survey on special values of Artin L-function." Chinese University of Hong Kong, 1991. http://library.cuhk.edu.hk/record=b5886908.

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by Ka-hon Yeung.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1991.<br>Bibliography: leaves 155-158.<br>Chapter 1) --- INTRODUCTION --- p.1<br>Chapter 2) --- BACKGROUND MATERIALS AND DEFINITIONS --- p.3<br>Chapter §1. --- THE RIEMANN ZETA FUNCTION --- p.3<br>Chapter §2. --- THE DEDEKIND ZETA FUNCTION --- p.9<br>Chapter §3. --- THE DIRICHLET L-FUNCTION --- p.11<br>Chapter §4. --- PLACES AND ABSOLUTE VALUES --- p.13<br>Chapter §5. --- THE HECKE L-FUNCTION --- p.14<br>Chapter §6. --- CLASS FIELD THEORY --- p.17<br>Chapter §7. --- LINEAR REPRESENTATIONS OF FINITE GROUPS --- p.19<

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Johnson, Jennifer Michelle. "Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields." Thesis, 2005. https://thesis.library.caltech.edu/2475/2/thesis.pdf.

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Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers. The leading term in the Taylor expansion at s=0 decomposes over the group algebra Q[G] into a product of Artin L-functions indexed by the characters of G. We construct a motivic element via the Eisenstein symbol and relate the L-value to periods via regulator maps. Working toward the equivariant Tamagawa number conjecture, we prove that the L-value gives a basis in etale cohomology which coin

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Bauer, Hartmut [Verfasser]. "The distribution of values of Artin L-functions and applications / vorgelegt von Hartmut Bauer." 2000. http://d-nb.info/96093927X/34.

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Books on the topic "Artin L-functions"

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author, Schwermer Joachim, ed. Emil Artin and beyond: Class field theory and l-functions. European Mathematical Society Publishing House, 2015.

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2

Langridge, Allan. Values of Artin L-functions at s equals 1. 2007.

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Book chapters on the topic "Artin L-functions"

1

de Shalit, Ehud. "Artin L Functions." In An Introduction to the Langlands Program. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8226-2_4.

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Murty, M. Ram, and V. Kumar Murty. "Artin L-Functions." In Non-vanishing of L-Functions and Applications. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8956-8_3.

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3

Moreno, Carlos. "Artin-Hecke L-functions." In Mathematical Surveys and Monographs. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/115/02.

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4

Halter-Koch, Franz. "Functional equations and Artin L functions." In Class Field Theory and L Functions. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9780429506574-7.

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Murty, M. Ram, and V. Kumar Murty. "Chapter 2 Artin L-Functions." In Non-vanishing of L-Functions and Applications. Springer Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-0274-1_3.

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6

Koch, H. "Artin L-Functions and Galois Module Structure." In Algebraic Number Theory. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-58095-6_5.

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Greenberg, Ralph. "On p-Adic Artin L-Functions II." In Contributions in Mathematical and Computational Sciences. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-55245-8_7.

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Omar, Sami. "Central Values of Artin L-Functions for Quaternion Fields." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_29.

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9

Ramakrishnan, Dinakar. "On certain Artin L-Series." In L-Functions and Arithmetic. Cambridge University Press, 1991. http://dx.doi.org/10.1017/cbo9780511526053.014.

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Klingen, Norbert. "Introduction." In Arithtnetical Sitnilarities. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198535980.003.0001.

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Abstract As prerequisites for reading this book we assume elementary facts from algebra and group theory including ordinary representation theory. A concise introduction to the fundamental concepts needed from algebraic number theory, for example prime decomposition, zeta function, density theorems, Artin L-functions, is given in Chapter I. This chapter already contains the key link between prime decomposition and group theory.

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