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#### A Higher-Dimensional Sieve Method

Cambridge University Press 2008; US$ 88.00Modern and practical guide to higher dimensional sieve theory, with an Appendix describing methods for computing sieve functions. more...

#### Twisted L-Functions and Monodromy. (AM-150)

Princeton University Press 2009; US$ 87.00For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where we do not even know what sort of answers to expect.... more...

#### Sets of Multiples

Cambridge University Press 1996; US$ 56.00Research monograph in analytic and probabilistic number theory. more...

#### Fibonacci and Lucas Numbers with Applications

Wiley 2011; US$ 196.00The first comprehensive survey of mathematics' most fascinating number sequences Fibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries. This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting... more...

#### Mobius Inversion in Physics

World Scientific Publishing Company 2010; US$ 88.00This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mobius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be... more...

#### The DESCENT MAP FROM AUTOMORPHIC REPRESENTATIONS OF GL(N) TO CLASSICAL GROUPS

World Scientific Publishing Company 2011; US$ 85.00This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of Gelfand–Graev type, or of Fourier–Jacobi type when... more...

#### Die Welt der Primzahlen

Springer Berlin Heidelberg 2006; US$ 29.99Die Welt der Primzahlen - in faszinierender Weise werden die wesentlichen Ergebnisse über die elementaren Bausteine der natürlichen Zahlen vorgestellt. Grundlegende Sätze und die wichtigsten offenen Fragen und ungelösten Probleme werden von einer wohl einmaligen Sammlung von Rekorden über Primzahlen begleitet. Ein umfangreiches Literaturverzeichnis... more...

#### Prime-Detecting Sieves. (LMS-33)

Princeton University Press 2012; US$ 110.00This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions... more...

#### Van der Corput's Method of Exponential Sums

Cambridge University Press 1991; US$ 52.00This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. more...

#### Elementary Theory of L-functions and Eisenstein Series

Cambridge University Press 1993; US$ 80.00An elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise. more...