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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

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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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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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 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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Analysis, Geometry And Topology Of Elliptic Operators

Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago;

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

For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge;

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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 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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Ranks of Elliptic Curves and Random Matrix Theory

also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this;

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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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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study;

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Algebraic Curves in Cryptography

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas;

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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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Arithmetic Theory of Elliptic Curves: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)Held in Cetaro, Italy

, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and;

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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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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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A Classical Introduction to Modern Number Theory

proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic;

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A Classical Introduction to Modern Number Theory

proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic;

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Handbook of Elliptic and Hyperelliptic Curve Cryptography

The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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Elliptic Curves in Cryptography

. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key sizes. As digital signatures become more;

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Contributions to the Theory of Games (AM-40), Volume IV

The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.;

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Elliptic Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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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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