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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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Introduction to p-adic Analytic Number Theory

This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint;

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Value Distribution in P-Adic Analysis

distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic;

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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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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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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

fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers;

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p-adic Numbers

fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From;

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

go to infinity geometrically with the index s. After presenting a review of valuation theory and elementary p-adic analysis together with an;

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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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Harmonic, Wavelet And P-adic Analysis

them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found;

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

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P-Adic Analysis

1989, was dedicated to the memory of Philippe Robba, his important contributions to p-adic analysis and especially to the theory of p-adic;

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Bernoulli Numbers and Zeta Functions

of Bernoulli numbers; Kummer's congruence between Bernoulli numbers and a related theory of p-adic measures; the Euler-Maclaurin summation formula; the;

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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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Theory of p-adic Distributions

, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum;

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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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Some Aspects of the Theory of p-adic Entire Functions

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Rigid Cohomology

cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it;

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p-adic Functional Analysis

Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems;

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p-adic Function Analysis

"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic;

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p-adic Function Analysis

Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic;

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Pseudodifferential Operators and Wavelets over Real and p adic Fields

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at;

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