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#### 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...

#### 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...

#### 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...

#### 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...

#### L-Functions and Arithmetic

Cambridge University Press 1991; US$ 84.00This volume will be of lasting value to students and researchers working in this area. 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...

#### Recent Perspectives in Random Matrix Theory and Number Theory

Cambridge University Press 2005; US$ 100.00Provides a grounding in random matrix techniques applied to analytic number theory. more...