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Number Theory Related to Modular Curves

distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory;

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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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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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Number Theory 3

This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern;

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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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Harmonic Maass Forms and Mock Modular Forms

and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical;

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Elliptic Curves. (MN-40), Volume 40

forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all;

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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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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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Number Theory With Applications to Cryptography

Number Theory with Applications to Cryptography takes into account the application of number theory in the field of cryptography. It;

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Topology of Algebraic Curves

is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and;

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Journees Arithmetiques 1980

number theory in general; elliptic curves and modular functions; local fields; additive number theory; Diophantine geometry, and uniform;

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Computational Aspects Of Algebraic Curves

of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research;

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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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Complex Multiplication

theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field;

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Modular Forms on Schiermonnikoog

theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and;

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Vertex Operator Algebras, Number Theory and Related Topics

and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the 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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Fermat's Last Theorem

proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois;

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Complex Algebraic Curves

of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most;

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Introduction To The Theory Of Numbers

developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem - a foreword by A. Wiles, and;

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Introduction To The Theory Of Numbers

developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem - a foreword by A. Wiles, and;

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Multi-variable Calculus

The book deals with functions of many variables: differentiation and integration, extrema with a number of digressions to related subjects;

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An Introduction to the Theory of Numbers

important developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles;

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