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On the Class Number of Abelian Number Fields

the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number;

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Class Groups of Number Fields and Related Topics

This book gathers original research papers and survey articles presented at the International Conference on Class Groups of Number Fields;

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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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Quadratic Number Fields

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not;

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Number Theory

This volume marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present a;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By;

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Computational and Algorithmic Problems in Finite Fields

special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number;

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Asymptotics of Cubic Number Fields with Bounded Second Successive Minimum of the Trace Form

We present a new way of investigating totally real algebraic number fields of degree 3. Instead of making tables of number fields with;

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Asymptotics of Cubic Number Fields with Bounded Second Successive Minimum of the Trace Form

We present a new way of investigating totally real algebraic number fields of degree 3. Instead of making tables of number fields with;

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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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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Polynomials with Special Regard to Reducibility

reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are;

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Number Fields

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward;

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Basic Number Theory

theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite;

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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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Certain Number-Theoretic Episodes In Algebra

Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the;

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Sports Psychology

Suitable for psychology of sport courses in departments of physical education and social science, this text contains a number of essays;

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Fourier Analysis on Number Fields

This book provides a modern approach to number theory through a blending of complementary algebraic and analytic perspectives. It;

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Galois Representations and Phi, Gamma-modules

Understanding Galois representations is one of the central goals of number theory. Around 1990, Fontaine devised a strategy to compare such;

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Valued Fields

Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. Krull's generalization;

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Number Theory and Its Applications

This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented;

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Finite Fields

in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.;

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Unit Equations In Diophantine Number The

Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a;

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Class Number Parity

This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and;

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