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#### 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$ 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...

#### Mobius Inversion in Physics

World Scientific Publishing Company 2010; US$ 127.00This 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$ 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$ 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...

#### 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...