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P-adic L-function
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31	p-ADIC L-FUNCTIONS AND EULER SYSTEMS: A TALE IN TWO TRILOGIES MASSIMO BERTOLINI, FRANCESC CASTELLA, HENRI DARMON SAMIT DASGUPTA, KARTIK PRASANNA, VICTOR ROTGER Abstract. This article surveys six different special value f Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2014-06-19 17:27:36 Number theory Algebraic number theory Dirichlet character Cyclotomic fields Dirichlet L-function P-adic L-function Cyclotomic character Symbol Modular form Abstract algebra Mathematics Mathematical analysis
32	Modular constructions of Galois cohomology classes with prescribed local properties (Ribet’s Method) Samit Dasgupta University of California, Santa Cruz Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2010-06-15 21:12:55 Number theorists Kenneth Alan Ribet P-adic L-function Abstract algebra Number theory Mathematics
33	Trivial zeroes of p-adic L-functions Samit Dasgupta University of California, Santa Cruz October 22, 2012 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-10-23 04:51:43 Number theory Cyclotomic fields Quadratic forms Dirichlet L-function Dirichlet character P-adic L-function Gauss sum Class number formula Bernoulli number Abstract algebra Mathematics Mathematical analysis
34	THE p-ADIC L-FUNCTIONS OF EVIL EISENSTEIN SERIES ¨ BELLA¨ICHE AND SAMIT DASGUPTA JOEL Abstract. We compute the p-adic L-functions of evil Eisenstein series, showing that they factor as products of two Kubota–Leopoldt Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-04-18 11:37:46 Analytic number theory Modular forms Field theory Number theory P-adic number P-adic L-function Symbol Interpretation Hecke operator Mathematical analysis Mathematics Abstract algebra
35	Annals of Mathematics[removed]), 439–484 doi: [removed]annals[removed]Hilbert modular forms and the Gross-Stark conjecture By Samit Dasgupta, Henri Darmon, and Robert Pollack Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-08-28 16:41:55 Dirichlet character Modular form Cyclotomic character P-adic L-function Gauss sum Weight Spectral theory of ordinary differential equations Symbol Abstract algebra Mathematical analysis Mathematics
36	On the Factorization of p-adic Rankin L-series Samit Dasgupta University of California, Santa Cruz October 26, 2012 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-10-26 04:17:30 Dirichlet L-function Dirichlet character Conductor Modular form Number theory Spectral theory of ordinary differential equations Selberg class Abstract algebra Mathematical analysis Mathematics
37	References [1] Bernardi, D., Perrin-Riou, B.: Variante p-adique de la conjecture de Birch et Swinnerton-Dyer (le cas supersingulier). C. R. Acad. Sci. Paris S´er. I Math[removed]), no. 3, 227–[removed]Besser, A.: Th Add to Reading List Source URL: www.math.sci.osaka-u.ac.jp Language: English - Date: 2012-04-20 10:21:48 Elliptic curves Field theory Algebraic geometry Algebraic number theory P-adic number Birch and Swinnerton-Dyer conjecture P-adic L-function Néron–Tate height Iwasawa theory Abstract algebra Mathematics Number theory
38	VARIATION OF IWASAWA INVARIANTS IN HIDA FAMILIES MATTHEW EMERTON, ROBERT POLLACK AND TOM WESTON Add to Reading List Source URL: www.math.umass.edu Language: English - Date: 2005-08-17 14:27:58 Algebraic number theory Field theory Analytic number theory Galois theory Number theory P-adic number Iwasawa theory P-adic L-function Modular form Abstract algebra Algebra Mathematics
39	Universit¨ at Duisburg-Essen Add to Reading List Source URL: math.uni.lu Language: English - Date: 2009-03-20 12:33:09 Analytic number theory Number theory Field theory Conjectures Modular forms P-adic L-function P-adic number Elliptic curve Langlands program Abstract algebra Mathematics Mathematical analysis
40	Iwasawa theory and generalizations Kazuya Kato Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:58:44 Algebraic number theory Field theory Analytic number theory Cyclotomic fields Number theory Iwasawa theory P-adic L-function Algebraic number field Galois module Abstract algebra Mathematics Algebra