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

example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic;

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

example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic;

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Introduction to p-adic Analytic Number Theory

book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and;

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A Course in P-Adic Analysis

-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts;

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London Mathematical Society Lecture Note Series

complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat;

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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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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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Elliptic Functions

treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular;

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Cambridge Studies in Advanced Mathematics

-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking;

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Some Aspects of the Theory of p-adic Entire Functions

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Some Remarks on the Growth Analysis of p-adic Entire Functions

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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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Elementary and Analytic Theory of Algebraic Numbers

includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution;

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Advances in Ultrametric Analysis

This book contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held from June 30-July 5, 2016, at;

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Period Spaces for p-divisible Groups (AM-141), Volume 141

In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the;

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An Introduction to G-Functions. (AM-133), Volume 133

Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic;

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London Mathematical Society Lecture Note Series

starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to;

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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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Introduction to the Theory of Algebraic Functions of One Variable

over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-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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Problems in Analytic Number Theory

are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a;

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Problems in Analytic Number Theory

are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a;

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Lectures On Profinite Topics In Group Theory

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each;

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London Mathematical Society Student Texts

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each;

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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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