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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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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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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 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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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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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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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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Elliptic Curves. (MN-40), Volume 40

An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are;

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The Applications of Elliptic Functions

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An Elementary Treatise On Elliptic Functions

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Lectures on the Theory of Elliptic Functions

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Probabilistic methods of investigating interior smoothness of harmonic functions associated with degenerate elliptic operators

smoothness of harmonic functions associated with degenerate elliptic equations. Recent progress in the case of constant coefficients is discussed;

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Smithsonian Mathematical Formulae and Tables of Elliptic Functions

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Smithsonian Mathematical Formulae and Tables of Elliptic Functions

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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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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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as;

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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 Quantum Groups

This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based;

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On the Direct Numerical Calculation of Elliptic Functions and Integrals

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Lectures on Selected Topics in Mathematical Physics

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

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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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Advanced Topics in the Arithmetic of Elliptic Curves

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that the theory;

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Complex Multiplication

of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the;

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