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Ranks of Elliptic Curves and Random Matrix Theory

, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field;

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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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Elliptic Curves. (MN-40), Volume 40

of modular forms and the first connections with elliptic curves. The last two chapters concern Eichler-Shimura theory, which establishes a much;

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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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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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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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Random Matrix Theory With an External Source

This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with;

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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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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 Functions

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the;

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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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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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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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Algebra and Geometry with Python

, vector spaces, lines, planes, second-order curves, and elliptic curves. The text is supported throughout with problems, and the authors have;

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Algebra and Geometry with Python

, vector spaces, lines, planes, second-order curves, and elliptic curves. The text is supported throughout with problems, and the authors have;

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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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Boundary Value Problems for Elliptic Systems

partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are;

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Boundary Value Problems for Elliptic Systems

partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are;

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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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The Large Sieve and Its Applications

of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications;

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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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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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