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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...

#### 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...

#### 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...

#### 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...

#### Eta Products and Theta Series Identities

Springer 2011; US$ 124.00This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with "Eisenstein series." The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. This book will be of... more...

#### Teoria dei numeri

Springer 2011; US$ 19.95H. Davenport: Probl mes d empilement et de d couvrement.- L.J. Mordell: Equazioni diofantee.- C.A. Rogers: The geometry of numbers.- P. Erd s: Some problems on the distribution of prime numbers.- G. Ricci: Sul reticolo dei punti aventi per coordinate i numeri primi. more...

#### Rational Number Theory in the 20th Century

Springer 2011; US$ 139.00The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics... more...

#### Fibonacci and Catalan Numbers

Wiley 2012; US$ 108.00Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the... more...