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The Arithmetic of Elliptic Curves

. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and;

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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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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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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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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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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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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic;

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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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Elliptic Curves

approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces 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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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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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 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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Twisted L-Functions and Monodromy. (AM-150), Volume 150

broader context of the overall study of elliptic curves. The book's technical core makes use of, and explains, various advanced topics ranging;

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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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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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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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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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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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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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Algebraic Geometry & Arithmetic Curves

, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such;

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Geometry I

curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book;

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Modern Cryptography and Elliptic Curves

to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual;

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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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