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P-adic Aspects Of Modular Forms

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;

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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values;

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p-Adic Automorphic Forms on Shimura Varieties

group G should have a canon ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon;

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The Eigenbook

This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them;

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The Eigenbook

This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them;

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Modular Representation Theory of Finite and p-ADIC Groups

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical;

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Families of Automorphic Forms and the Trace Formula

spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this;

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Elementary Theory of L-functions and Eisenstein Series

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic;

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London Mathematical Society Student Texts

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area;

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Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For;

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Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For;

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Some Aspects of the Theory of p-adic Entire Functions

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A Course in Arithmetic

: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant +/- I;

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Number Theory 3

main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and;

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Automorphic Forms & Galois Representati

in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and;

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Automorphic Forms And Galois Representations: Volume 1

in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and;

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Value Distribution in P-Adic Analysis

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value;

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Iwasawa Theory 2012

for GL(2) by Kato and Skinner & Urban. Techniques such as Hida's theory of p-adic modular forms and big Galois representations play a crucial;

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A Course in P-Adic Analysis

Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self;

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p-adic Numbers, p-adic Analysis, and Zeta-Functions

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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P-adic Analytic Functions

P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically;

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London Mathematical Society Lecture Note Series

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts;

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