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#### Experimental Number Theory

Oxford University Press, UK 2007; US$ 69.99This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions. -... more...

#### Elementary Number Theory

Springer 2008; US$ 49.95Explains classical elementary number theory and elliptic curves. This book discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography and computation. It details elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. more...

#### Geometry of Numbers

Elsevier Science 1987; US$ 72.95This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc. This second edition was prepared jointly by P.M. Gruber... more...

#### Surveys in Number Theory

Springer 2009; US$ 129.00Contains chapters on number theory and related topics. This title covers topics that focus on multipartitions, congruences and identities, the formulas of Koshliakov and Guinand in Ramanujan's "Lost Notebook", alternating sign matrices and the Weyl character formulas, theta functions in complex analysis, and elliptic functions. more...

#### Combinatorial Number Theory

De Gruyter 2009; US$ 238.00This volume contains selected refereed papers based on lectures presented at the ?Integers Conference 2007?, an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007. The proceedings include contributions from many distinguished speakers, including George Andrews, Neil Hindman, Florian Luca, Carl... more...

#### Elementary Theory of Numbers

Elsevier Science 1988; US$ 72.95Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised. The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the... more...

#### Geometric Discrepancy

Springer 2010; US$ 99.00Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. more...

#### Elementary Number Theory with Applications

Elsevier Science 2007; US$ 110.00This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of... more...

#### p-adic Differential Equations

Cambridge University Press 2010; US$ 64.00The first comprehensive, unified development of the theory of p-adic differential equations. more...

#### Additive Number Theory

Springer 2010; US$ 179.00This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles... more...