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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular;

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Elliptic Curves

integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary;

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Elliptic Curves

integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary;

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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the;

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A Window into Zeta and Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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Window Into Zeta And Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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Theta functions, elliptic functions and

This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising;

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Modular Forms

examples such as elliptic functions and theta functions, the modular group, its subgroups, and general aspects of holomorphic and nonholomorphic;

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Elements of the Representation Theory of the Jacobi Group

group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Modular Forms

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms;

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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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Harmonic Maass Forms and Mock Modular Forms

and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical;

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Advanced Topics in the Arithmetic of Elliptic Curves

book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full;

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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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London Mathematical Society Lecture Note Series

Hecke algebra technique. Visit http://arxiv.org/math.QA/0404307 to read Chapter 0 and selected topics from other chapters.;

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Elliptic Curves, Modular Forms and Their L-functions

of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Complex Functions

from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects;

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Modular Forms and Fermat's Last Theorem

techniques used by Wiles in his proof that every (semi- stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined;

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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

orbital integrals in terms of Dedekind zeta functions, Hecke $L$-functions, and the Shintani zeta function for the space of binary quadratic forms.;

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Abelian Varieties with Complex Multiplication and Modular Functions

modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth;

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Traces of Hecke Operators

$ for congruence subgroups of $operatorname{SL 2(mathbf{Z )$. The first half of the text brings together the background from number theory and;

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Fundamenta Nova Theoriae Functionum Ellipticarum

was made by his work on elliptic functions. Elliptic integrals had been studied for a long time, but in 1827 Jacobi and Niels Henrik Abel realised;

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Werke

generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous;

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