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Elementary and Analytic Theory of Algebraic Numbers

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage;

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An Invitation To Algebraic Numbers And Algebraic Functions

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception;

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Analytic Number Theory

, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions;

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The Theory of Algebraic Numbers

Makes available in English the elementary parts of classical algebraic number theory. This second edition follows closely the plan and;

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Essentials of Number Theory

, algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory. These categories reflect the methods used;

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Algebraic Numbers and Algebraic Functions

III. Prerequisites for reading the book are a standard first-year graduate course in algebra (including some Galois theory) and elementary;

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A Primer of Analytic Number Theory

in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes;

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A Primer of Analytic Number Theory

in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes;

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Elementary Algebraic Geometry

. Subsequent chapters explore commutative ring theory and algebraic geometry as well as varieties of arbitrary dimension and some elementary;

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Distribution Theory of Algebraic Numbers

The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals;

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Non-Unique Factorizations

throughout the vast literature. For the first time, Non-Unique Factorizations: Algebraic, Combinatorial, and Analytic Theory offers a look at the;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Contents include: 1.1 sheaf theory;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Contents include: 1.1 sheaf theory;

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Fundamentals of Algebraic Microlocal Analysis

balance between analytic and algebraic aspects.;

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Fundamentals of Algebraic Microlocal Analysis

balance between analytic and algebraic aspects.;

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Hilbert Modular Forms

, analytic continuation of Eisenstein series, the cohomology and its Hodge decomposition. Basic facts about algebraic numbers, integration;

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Number Theory

This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality;

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Number Theory

This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality;

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Class Field Theory and L Functions

A Thorough Presentation of the Theory of Algebraic Numbers and Functions Built on a presentation of algebraic foundations Topics;

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Algebraic Number Theory

This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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Introduction To The Theory Of The Riemann Zeta-Function

of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied;

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Introduction to Algebraic Curves

with minimal technical requirements (a working knowledge of elementary complex function theory and algebra together with some exposure to;

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Algebraic Theory of Numbers. (AM-1), Volume 1

concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory;

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Algebraic Theory of Numbers

concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory;

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Contributions in Analytic and Algebraic Number Theory

The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory;

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