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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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Elliptic Functions

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the;

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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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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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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 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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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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A Window into Zeta and Modular Physics

condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black;

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Window Into Zeta And Modular Physics

condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black;

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Elliptic curves and functions

An introduction in the theory of elliptic functions and elliptic curves. Both are a priori different mathematical subjects. However, there;

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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 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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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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Handbook Of Mathematical Functions

functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass;

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Analysis IV

methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the;

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Theta Functions And Knots

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Rzvan Gelca and Alejandro;

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Ramanujan's Theta Functions

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan's results and extends them;

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Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals

This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions;

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Abelian Varieties, Theta Functions And The Fourier Transform

The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty;

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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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