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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 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical;

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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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The Applications of Elliptic Functions

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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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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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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 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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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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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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Arithmetic of Finite Fields

from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; irreducible polynomials;

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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

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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Algebraic Geometry And Its Applications

contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results;

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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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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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Lectures on the Theory of Elliptic Functions

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Complex Functions

Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great;

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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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Complex Variables And Their Applications

An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the;

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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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Number Theory With Applications to Cryptography

of cryptography in order to understand discrete log problem, matrices, elliptic curves and public-key cryptography and the applications of Fibonacci;

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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

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

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