Taniyama first suggested in the 1950's that a statement along these lines might be true, and
a precise conjecture was formulated by Shimura. A paper of Weil [Wei67] provided strong …

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second
Edition develops the theory of elliptic curves to provide a basis for both number theoretic and …

Does the proof of Fermat’s Last Theorem (FLT) go beyond Zermelo Fraenkel set theory (ZFC)?
Or does it merely use Peano Arithme Page 1 The Bulletin of Symbolic Logic Volume 16, Number …

This textbook covers the main topics in number theory as taught in universities throughout
the world. Number theory deals mainly with properties of integers and rational numbers; it is …

This book uses the beautiful theory of elliptic curves to introduce the reader to some of the
deeper aspects of number theory. It assumes only a knowledge of the basic algebra …

Elliptic curves over real quadratic fields are modular | SpringerLink Skip to main content
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Modular Forms is a graduate student-level introduction to the classical theory of modular
forms and computations involving modular forms, including modular functions and the theory …

This book is mainly devoted to some computational and algorithmic problems in finite fields
such as, for example, polynomial factorization, finding irreducible and primitive polynomials …

An Introduction to Number Theory provides an introduction to the main streams of number
theory. Starting with the unique factorization property of the integers, the theme of …

A different approach to the theory of balancing numbers is possible by means of a Pell's
equation which can be derived from the definition of balancing numbers. Each balancing …