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

functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic;

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

functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic;

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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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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 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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Cambridge Studies in Advanced Mathematics

advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to;

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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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Introduction to Classical & p-ADIC Theory of Linear Operators & Applications

differential equations, and an elegant introduction to basic concepts and methods of the rapidly growing theory of the so-called p-adic operator theory.;

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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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Lectures On Profinite Topics In Group Theory

chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie;

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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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London Mathematical Society Student Texts

chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie;

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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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Berkeley Lectures on p-adic Geometry

Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his;

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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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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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Berkeley Lectures on padic Geometry (AMS207)

Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his;

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Cambridge Studies in Advanced Mathematics

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject;

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Theory of p-adic Distributions

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution;

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P-Adic Functional Analysis

-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical;

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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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The Langlands Classification and Irreducible Characters for Real Reductive Groups

conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory;

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