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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 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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Advanced Topics in the Arithmetic of Elliptic Curves

of elliptic curves is rich, varied, and amazingly vast, and as a consequence, many important topics had to be omitted. I included a brief;

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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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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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Ranks of Elliptic Curves and Random Matrix Theory

interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family;

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Twisted L-Functions and Monodromy. (AM-150), Volume 150

questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and;

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Elliptic Curves

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to;

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A Primer of Algebraic Geometry

, dimension of algebraic sets, local theory, curves and elliptic curves, and more.;

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A Primer of Algebraic Geometry

, dimension of algebraic sets, local theory, curves and elliptic curves, and more.;

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The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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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 Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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The Arithmetic of Elliptic Curves

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study;

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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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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and;

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Algebraic Geometry And Its Applications

elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions;

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London Mathematical Society Lecture Note Series

A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach;

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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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Graphs of Elementary and Special Functions Handbook

, graphs of important curves, and properties, and graphs of common special functions (gamma function, integral exponential functions, Fresnel;

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Algebraic Curves in Cryptography

, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected;

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Number Theory With Applications to Cryptography

Exponentiation and Scalar Multiplication, Discrete log problem, elliptic curves, matrices and public-key cryptography and Implementation of Pollard Rho;

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Algebraic Geometry

, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.;

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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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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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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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