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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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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object;

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Elliptic Curves. (MN-40), Volume 40

class field theory, arithmetic algebraic geometry, and group representations--in which the concidence of L functions relates analysis and;

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Algorithmic Number Theory

of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with;

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Algorithmic Number Theory

of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field 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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L-Functions And Galois Representations

This collection of survey and research articles brings together topics at the forefront of the theory of L-functions and Galois;

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Introduction to Modern Number Theory

generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded;

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Introduction To Modern Number Theory Fun

generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded;

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Introduction to Cyclotomic Fields

This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and;

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A Window into Zeta and Modular Physics

hole connection in two-dimensional gravity, and conformal field theory.;

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Window Into Zeta And Modular Physics

hole connection in two-dimensional gravity, and conformal field theory.;

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An Invitation To Algebraic Numbers And Algebraic Functions

fields with a focus on quadratic, cubic and cyclotomic fields; basics of the analytic theory including the prime ideal theorem, density results;

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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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Automorphic Representations And L-Functions For The General

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general;

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Automorphic Representations And L-Functions For The General

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general;

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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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Zeta and $L$-functions in Number Theory and Combinatorics

Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

to future generations in their study of the fascinating theory of zeta and L-functions.Published by Mathematical Society of Japan and;

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Conference On L-functions, The

from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole.The;

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Complex Multiplication

theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field;

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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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Methods of the Theory of Functions of Many Complex Variables

applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory;

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Path Integral Approach in Theoretical Physics

-functions for meromorphic modular forms and sum rules in conformal field theory, application of path integral for multi-field inflation, variational;

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Forms Of Fermat Equations And Their Zeta Functions

, a complete and explicit classification of all cubic binary equations is given. If K is a finite field containing the d-th roots of unity;

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On Certain L-Functions

. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their L-functions, and;

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On a Class of Incomplete Gamma Functions with Applications

, and probability theory, whose solutions seem to defy even the most general classes of special functions. On a Class of Incomplete Gamma;

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