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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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Partition Functions and Automorphic Forms

, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics;

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Partition Functions and Automorphic Forms

, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics;

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Elliptic Curves. (MN-40), Volume 40

of modular forms and the first connections with elliptic curves. The last two chapters concern Eichler-Shimura theory, which establishes a much;

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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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Topics In Complex Function Theory

Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization;

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A Window into Zeta and Modular Physics

expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schroedinger operators, Bose-Einstein;

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Window Into Zeta And Modular Physics

expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schroedinger operators, Bose-Einstein;

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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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Elliptic Functions

In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay;

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Elliptic Curves, Modular Forms and Iwasawa Theory

collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois;

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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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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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Elliptic Polynomials

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their;

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Elliptic Polynomials

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Elliptic Functions

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical;

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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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Abelian Varieties with Complex Multiplication and Modular Functions

of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic;

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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and;

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Elliptic Quantum Groups

of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite;

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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth;

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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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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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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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On the Direct Numerical Calculation of Elliptic Functions and Integrals

Originally published in 1924, this book presents an account regarding the direct numerical calculation of elliptic functions and integrals;

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