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- World Scientific Publishing Company 2010; US$ 127.00
This 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...
- Cambridge University Press 1999; US$ 72.00
A treatment of a lively topic from number theory for graduate students and researchers. more...
- Cambridge University Press 2005; US$ 56.00
This book provides a motivated introduction to sieve theory. more...
- Springer New York 2006; US$ 89.99
Prime 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...
- Cambridge University Press 2006; US$ 116.00
A self-contained graduate-level introduction to the topic of L-functions, first published in 2006. more...
- Birkhäuser Basel 2006; US$ 149.00
In 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...
- De Gruyter 2004; US$ 266.00
The 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...
- Springer New York 2007; US$ 129.00
This 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...