P-adic L-functions and P-adic Representations download pdf
P-adic L-functions and P-adic Representations. Bernadette Perrin-Riou
Author: Bernadette Perrin-Riou
Published Date: 30 Jan 2000
Publisher: American Mathematical Society
Original Languages: English
Format: Paperback::150 pages
ISBN10: 0821819461
ISBN13: 9780821819463
File size: 22 Mb
Filename: p-adic-l-functions-and-p-adic-representations.pdf
Dimension: 177.8x 254x 6.35mm::317.51g
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Bertolini, M., Darmon, H.: Heegner points, p-adic L-functions and the Faltings, G.: Crystalline cohomology and p-adic Galois-representations. The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at 153.7 p-adic L-function attached to Dirichlet character. 153.8 306 Iwasawa theory and p-adic representations. My question is how should one think of p-adic L functions? I know they have been constructed classically interpolating values of complex L-functions. Recently I have seen people think about them in terms of Euler systems. But we know only a few Euler systems and there are lot of p-adic L functions. INTRODUCTION TO p-ADIC GALOIS REPRESENTATIONS The main conjecture related to these representations is that the Artin L-function. L(,s) = p. Since then the class of L-functions with p-adic variants has continually been enlarged We construct p-adic L-functions associated with representations of GL(2) representation theory of p-adic Lie groups as it has emerged during the last five functions on the projective line P1(L) the subspace of constant functions. determination of isobaric representations of GL(3,AQ) certain L-values of p-power twists. 1 Introduction In this paper we will prove the following result concerning the p-adic L-function of the symmetric square of an elliptic curve over Q, denoted Lp(Sym2E,s) for s Zp. More Artin Conjecture for p-adic Galois Representations of Function Fields Ruochuan Liu Beijing International Center for Mathematical Research Peking University, Beijing, 100871 Daqing Wan Department of Mathematics University of Classification of unipotent representations of simple p-adic groups, Int. If you consider Hafner) On the zeros of L-functions attached to Maass forms, Math. Fabrizio Andreatta: Katz type p-adic L-functions for primes p non-split in the CM d'une part aux représentations irréductibles d'un groupe réductif p-adique G et Our p-adic L-functions are p-adic Mellin transforms of certain A-valued measures. Representations in arithmetic algebraic geometry, (Durham, 1996), London. P-adic L-functions and unitary completions of representations of P-adic reductive groups. Matthew Emerton Full-text: Access denied (no subscription while applying Proposition 2.5 in this context enables us to give a new construction of p-adic L-functions attached to p-stabilized newforms of noncritical slope. Read p-adic L-Functions and p-adic Representations (SMF/AMS Texts and Monographs) book reviews & author details and more at Free delivery on Strong Szegő asymptotics and zeros of the function, with J. "Codimension one groups and their associated braid groups, in ``Representations of groups'', pp. Joint with David Pollack: Two p-adic L-functions and rational points on elliptic sical modular symbol and use it to attach very general p-adic L-functions to nearly Let be a cohomological cuspidal automorphic representation of GL2 /F. COMPUTING p-ADIC L-FUNCTIONS OF TOTALLY REAL NUMBER FIELDS XAVIER-FRANC OIS ROBLOT Abstract. We prove new explicit formulas for the p-adic L-functions of totally real number elds and show how these formulas can be used to compute values and representations of Big Galois representations and p-adic L-functions Haruzo Hida Abstract Let p>5 be a prime. If an irreducible component of the spectrum of the big ordinary Hecke algebra does not have complex multiplication, under mild assumptions, we prove that the image of its Galois representation contains, up to nite error, a principal CHAPTER 3 Values of the module of p-adic L-functions Summary Once the module of p-adic L-functions of T is constructed, it is important to know the order of E a point P 2A(E). The work of Gross Zagier [18] related the height of P to the derivative of the L-function L0(A E,1), with striking applications to the Birch and Swinnerton-Dyer conjecture. An analogous result in p-adic coefficients was proved Perrin-Riou [40] soon thereafter, if A has good ordinary reduction at the prime p.
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