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#### Trigonometric Sums in Number Theory and Analysis

De Gruyter 2004; US$ 266.00The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov´s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often... more...

#### The Riemann Hypothesis

Springer 2007; US$ 129.00This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of... more...

#### 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$ 78.50For 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$ 190.00The 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...

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

World Scientific Publishing Company 2011; US$ 138.00This 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...

#### The Music of the Primes: Why an unsolved problem in mathematics matters (Text Only)

HarperCollins Publishers 2012; Not Available(This ebook contains a limited number of illustrations.) The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician. more...

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

Princeton University Press 2012; US$ 99.95This 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...