Academic literature on the topic 'Local and $p$-adic fields'
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Journal articles on the topic "Local and $p$-adic fields"
Li, Yin, and Hua Qiu. "p-adic Laplacian in local fields." Nonlinear Analysis: Theory, Methods & Applications 139 (July 2016): 131–51. http://dx.doi.org/10.1016/j.na.2016.02.025.
Full textLI, YIN. "WEIERSTRASS-TYPE FUNCTIONS IN p-ADIC LOCAL FIELDS." Fractals 28, no. 03 (May 2020): 2050043. http://dx.doi.org/10.1142/s0218348x20500437.
Full textQiu, Hua, and Weiyi Su. "3-Adic Cantor function on local fields and its p-adic derivative." Chaos, Solitons & Fractals 33, no. 5 (August 2007): 1625–34. http://dx.doi.org/10.1016/j.chaos.2006.03.024.
Full textHarari, David, and Tamás Szamuely. "Local-global questions for tori over $p$-adic function fields." Journal of Algebraic Geometry 25, no. 3 (March 31, 2016): 571–605. http://dx.doi.org/10.1090/jag/661.
Full textMochizuki, Shinichi. "A Version of the Grothendieck Conjecture for p-Adic Local Fields." International Journal of Mathematics 08, no. 04 (June 1997): 499–506. http://dx.doi.org/10.1142/s0129167x97000251.
Full textHua, Qiu, and Su Weiyi. "Weierstrass-like functions on local fields and their p-adic derivatives." Chaos, Solitons & Fractals 28, no. 4 (May 2006): 958–65. http://dx.doi.org/10.1016/j.chaos.2005.09.017.
Full textScholze, Peter. "The Local Langlands Correspondence for GL n over p-adic fields." Inventiones mathematicae 192, no. 3 (August 11, 2012): 663–715. http://dx.doi.org/10.1007/s00222-012-0420-5.
Full textSeveso, Marco Adamo. "p-adic L-functions and the Rationality of Darmon Cycles." Canadian Journal of Mathematics 64, no. 5 (October 1, 2012): 1122–81. http://dx.doi.org/10.4153/cjm-2011-076-8.
Full textGras, Georges. "Les θ-régulateurs locaux d'un nombre algébrique : Conjectures p-adiques." Canadian Journal of Mathematics 68, no. 3 (June 1, 2016): 571–624. http://dx.doi.org/10.4153/cjm-2015-026-3.
Full textBocardo-Gaspar, Miriam, Hugo García-Compeán, Edgar Y. López, and Wilson A. Zúñiga-Galindo. "Local Zeta Functions and Koba–Nielsen String Amplitudes." Symmetry 13, no. 6 (May 29, 2021): 967. http://dx.doi.org/10.3390/sym13060967.
Full textDissertations / Theses on the topic "Local and $p$-adic fields"
Miller, Justin Thomson. "On p-adic Continued Fractions and Quadratic Irrationals." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/194074.
Full textChinner, Trinity. "Elliptic Tori in p-adic Orthogonal Groups." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42759.
Full textJondreville, David. "Quantification de groupes p-adiques et applications aux algèbres d'opérateurs." Thesis, Reims, 2017. http://www.theses.fr/2017REIMS010.
Full textThis thesis is devoted to the study of deformation of C*-algebras endowed with a group action, from the perspective of non-formal equivariant quantization, in the non-Archimedean setting. We construct a deformation theory of C*-algebras endowed with an action of a finite dimensional vector space over a non-Archimedean local field of characteristic different from 2 and for quotients of the affine group of a local field whose residue field has cardinality not divisible by 2. Moreover, we construct families of dual unitary 2-cocycles in order to deform locally compact quantum groups acting on these deformed C*-algebras
Sordo, Vieira Luis A. "ON P-ADIC FIELDS AND P-GROUPS." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/43.
Full textMalon, Christopher D. "The p-adic local langlands conjecture." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33667.
Full textIncludes bibliographical references (leaves 46-47).
Let k be a p-adic field. Split reductive groups over k can be described up to k- isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group of k. The Galois action on the based root datum is shared by members of an inner class of k-groups, in which one k--isomorphism class is quasi-split. Other forms of the inner class can be called pure or impure, depending on the Galois action. Every form of an adjoint group is pure, but only the quasi-split forms of simply connected groups are pure. A p-adic Local Langlands correspondence would assign an L-packet, consisting of finitely many admissible representations of a p-adic group, to each Langlands parameter. To identify particular representations, data extending a Langlands parameter is needed to make "completed Langlands parameters." Data extending a Langlands parameter has been utilized by Lusztig and others to complete portions of a Langlands classification for pure forms of reductive p- adic groups, and in applications such as endoscopy and the trace formula, where an entire L-packet of representations contributes at once.
(cont.) We consider a candidate for completed Langlands parameters to classify representations of arbitrary rational forms, and use it to extend a classification of certain supercuspidal representations by DeBacker and Reeder to include the impure forms.
by Christopher D. Malon.
Ph.D.
Ramero, Lorenzo. "An â-adic Fourier transform over local fields." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28040.
Full textChojecki, Przemyslaw. "P-adic local Langlands correspondence and geometry." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066035/document.
Full textThis thesis concerns the geometry behind the p-adic local Langlands correspondence. We give a formalism of methods of Emerton, which would permit to establish the Fontaine-Mazur conjecture in the general case for unitary groups. Then, we verify that our formalism works well in the case of U(3) where we use the construction of Breuil-Herzig as the input for the p-adic correspondence.From the local viewpoint, we start a study of the modulo p and p-adic cohomology of the Lubin-Tate tower for GL_2(Q_p). In particular, we show that we can find the local p-adic Langlands correspondence in the completed cohomology of the Lubin-Tate tower
Aubertin, Bruce Lyndon. "Algebraic numbers and harmonic analysis in the p-series case." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/30282.
Full textScience, Faculty of
Mathematics, Department of
Graduate
Breuning, Manuel. "Equivariant epsilon constants for Galois extensions of number fields and P-adic fields." Thesis, King's College London (University of London), 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.409402.
Full textMinardi, John. "Iwasawa modules for [p-adic]-extensions of algebraic number fields /." Thesis, Connect to this title online; UW restricted, 1986. http://hdl.handle.net/1773/5742.
Full textBooks on the topic "Local and $p$-adic fields"
1937-, Doran Robert S., Sally Paul, and Spice Loren 1981-, eds. Harmonic analysis on reductive, p-adic groups: AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA. Providence, R.I: American Mathematical Society, 2011.
Find full textInternational Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. Providence, R.I: American Mathematical Society, 2011.
Find full text1971-, Orlik Sascha, and Rapoport M. 1948-, eds. Period domains over finite and p-adic fields. Cambridge: Cambridge University Press, 2010.
Find full textGermany) International Conference on p-adic Functional Analysis (13th 2014 Paderborn. Advances in non-Archimedean analysis: 13th International Conference on p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany. Edited by Glöckner Helge 1969 editor, Escassut Alain editor, and Shamseddine Khodr 1966 editor. Providence, Rhode Island: American Mathematical Society, 2016.
Find full textColmez, Pierre. Intégration sur les variétés p-adiques. Paris: Société Mathématique de France, 1998.
Find full textColmez, Pierre. Intégration sur les variétés p-adiques. Paris: Société Mathématique de France, 1998.
Find full textChuong, Nguyen Minh. Pseudodifferential Operators and Wavelets over Real and p-adic Fields. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2.
Full textGrob, Camilla. Die Entscheidbarkeit der Theorie der maximalen pseudo p-adisch abgeschlossenen Körper. Konstanz: Hartung-Gorre, 1987.
Find full textInternational Conference on p-Adic and Non-Archimedean Analysis (10th 2008 Michigan State University). Advances in p-adic and non-Archimedean analysis: Tenth International Conference on p-Adic and Non-Archimedean Analysis, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. Edited by Berz M and Shamseddine Khodr 1966-. Providence, R.I: American Mathematical Society, 2010.
Find full textM, Berz, and Shamseddine Khodr 1966-, eds. Advances in p-adic and non-Archimedean analysis: Tenth International Conference, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. Providence, R.I: American Mathematical Society, 2010.
Find full textBook chapters on the topic "Local and $p$-adic fields"
Narkiewicz, Władysław. "P-adic Fields." In Springer Monographs in Mathematics, 199–255. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07001-7_5.
Full textChuong, Nguyen Minh. "Wavelets on p-Adic Fields." In Pseudodifferential Operators and Wavelets over Real and p-adic Fields, 331–49. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2_5.
Full textDeninger, Christopher, and Annette Werner. "Line Bundles and p-Adic Characters." In Number Fields and Function Fields—Two Parallel Worlds, 101–31. Boston, MA: Birkhäuser Boston, 2005. http://dx.doi.org/10.1007/0-8176-4447-4_7.
Full textChuong, Nguyen Minh. "p-Adic Mathematical Analysis." In Pseudodifferential Operators and Wavelets over Real and p-adic Fields, 157–85. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2_3.
Full textChuong, Nguyen Minh. "Pseudodifferential Operators Over p-Adic Fields." In Pseudodifferential Operators and Wavelets over Real and p-adic Fields, 187–329. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77473-2_4.
Full textRobert, Alain M. "Construction of Universal p-adic Fields." In Graduate Texts in Mathematics, 127–59. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3254-2_3.
Full textHu, Pei-Chu, and Chung-Chun Yang. "Basic facts in p-adic analysis." In Meromorphic Functions over Non-Archimedean Fields, 1–31. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_1.
Full textBerndt, Rolf, and Ralf Schmidt. "Local Representations: The p-adic Case." In Progress in Mathematics, 105–36. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8772-4_5.
Full textBerndt, Rolf, and Ralf Schmidt. "Local Representations: The p-adic Case." In Elements of the Representation Theory of the Jacobi Group, 105–36. Basel: Springer Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-0283-3_5.
Full textGerstein, Larry. "Valuations, local fields, and 𝑝-adic numbers." In Graduate Studies in Mathematics, 51–79. Providence, Rhode Island: American Mathematical Society, 2008. http://dx.doi.org/10.1090/gsm/090/03.
Full textConference papers on the topic "Local and $p$-adic fields"
Kaneko, Hiroshi. "Capacities and Function Spaces on the Local Field." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193114.
Full textvan der Put, Marius. "Local p-Adic Differential Equations." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193131.
Full textMijajlović, Žarko. "Infinitesimals in Nonstandard Analysis versus Infinitesimals in p-Adic Fields." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193129.
Full textKobayashi, Kazuyoshi, Rina Takada, and Takao Komatsu. "A note on periodicity of p-adic analytic functions." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841899.
Full textDremov, V. "On the Chaotic Properties of Quadratic Maps Over Non-Archimedean Fields." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193109.
Full textSuresh, V. "Quadratic Forms, Galois Cohomology and Function Fields of p-adic Curves." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0046.
Full textIzhboldin, Oleg. "p–primary part of the Milnor K–groups and Galois cohomologies of fields of characteristic p." In Higher local fields. Mathematical Sciences Publishers, 2000. http://dx.doi.org/10.2140/gtm.2000.3.19.
Full textGuepin, Florent, Christoph Haase, and James Worrell. "On the Existential Theories of Büchi Arithmetic and Linear p-adic Fields." In 2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2019. http://dx.doi.org/10.1109/lics.2019.8785681.
Full textFesenko, Ivan. "Parshin's higher local class field theory in characteristic p." In Higher local fields. Mathematical Sciences Publishers, 2000. http://dx.doi.org/10.2140/gtm.2000.3.75.
Full textRojas, J. Maurice, and Yuyu Zhu. "A Complexity Chasm for Solving Univariate Sparse Polynomial Equations Over p-adic Fields." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3452143.3465554.
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