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#### 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 Prime Number Theorem

Cambridge University Press 2003; US$ 44.00This textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem. more...

#### Character Sums with Exponential Functions and their Applications

Cambridge University Press 1999; US$ 72.00A treatment of a lively topic from number theory for graduate students and researchers. more...

#### An Introduction to Sieve Methods and Their Applications

Cambridge University Press 2005; US$ 56.00This book provides a motivated introduction to sieve theory. more...

#### Prime Numbers

Springer New York 2006; US$ 89.99Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. Yet, some of the simplest questions about primes have stumped humankind for millennia. In this book, the authors concentrate on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given... more...

#### Automorphic Forms and L-Functions for the Group GL(n,R)

Cambridge University Press 2006; US$ 116.00A self-contained graduate-level introduction to the topic of L-functions, first published in 2006. more...

#### Multiplicative Number Theory I

Cambridge University Press 2006; US$ 72.00A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State. more...

#### The Monodromy Group

Birkhäuser Basel 2006; US$ 149.00In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations one has the Riemann-Hilbert problem, the Stokes phenomena and... more...

#### 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 New York 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. more...