Number theory

This modern, graduate-level textbook does not assume prior knowledge of representation theory.

Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

A self-contained 2010 account of the state of the art in classical complex multiplication.

Build paper polygons and discover how systematic paper folding reveals exciting patterns and relationships between seemingly unconnected branches of mathematics.

A classic text in number theory; this eighth edition contains new material on primality testing written by J.

This modern, graduate-level textbook does not assume prior knowledge of representation theory.

This collaborative volume presents trends arising from the fruitful interaction between combinatorics on words, automata and number theory.

Combinatorics meets number theory in this stimulating stroll through the zetas.

This collaborative volume presents trends arising from the fruitful interaction between combinatorics on words, automata and number theory.

The author''s classic concise introduction now fully updated and developed to suit courses extending from primers to introductions to research.

The author''s classic concise introduction now fully updated and developed to suit courses extending from primers to introductions to research.

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.

Over 100 exercises with detailed solutions, insightful notes and references for further reading.

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.

A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.

A unique insight into the topic of curves of genus 2, by two of the world''s leading practitioners.

This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.

This volume honors Sir Peter Swinnerton-Dyer''s mathematical career spanning more than 60 years'' of amazing creativity in number theory and algebraic geometry.

Displays the intricate interplay between different foundations of non-commutative number theory.

This modern, graduate-level textbook does not assume prior knowledge of representation theory.

This modern, graduate-level textbook does not assume prior knowledge of representation theory.

A comprehensive treatment of the theory.

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields.

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts.

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts.

A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming.

A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming.

Volume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds.

Volume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds.

Praise for the First Edition beautiful and well worth the reading with many exercises and a good bibliography, this book will fascinate both students and teachers.

Praise for the First Edition beautiful and well worth the reading with many exercises and a good bibliography, this book will fascinate both students and teachers.

An exciting approach to the history and mathematics of number theory .

An exciting approach to the history and mathematics of number theory .

The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security.

The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security.

A complete, self-contained introduction to a powerful and resurging mathematical discipline Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes T th, Rogers, and Erd's.

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity.

The first comprehensive review of the theory and practice of one oftoday's most powerful optimization techniques.

This book provides a self-contained proof of the Mordell conjecture (Faltings''s theorem) and a concise introduction to Diophantine geometry.

Build a solid foundation in the area of arithmetic groups and explore its inherent geometric and number-theoretical components.

This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

A friendly and concise introduction to the Mahler measure – a fascinating subject in contemporary mathematics.

This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

A mathematical record of bounded prime gaps breakthroughs, from Erdős to Polymath8, with linked computer programs and complete appendices.

A mathematical record of bounded prime gaps breakthroughs, from Erdős to Polymath8, with linked computer programs and complete appendices.

A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.

Learn how to automatically prove mathematical statements in combinatorics, sequences, and number theory.

The continuation of an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

This volume contains research papers in mathematical logic, particularly in model theory and its applications to algebra and formal theories of arithmetic.

Volume 2 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.