Sieve Methods, Exponential Sums, and Their Applications in Number Theory PDF Download
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Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
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Book Description
State-of-the-art analytic number theory proceedings.
Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
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Book Description
State-of-the-art analytic number theory proceedings.
Author: George Greaves
Publisher: Springer Science & Business Media
ISBN: 366204658X
Category : Mathematics
Languages : en
Pages : 312
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Book Description
This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Author: Glyn Harman
Publisher: Princeton University Press
ISBN: 0691202990
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This 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 from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers.
Author: J. B. Conrey
Publisher: Cambridge University Press
ISBN: 0521699649
Category : Mathematics
Languages : en
Pages : 5
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Book Description
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.
Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814452459
Category : Mathematics
Languages : en
Pages : 273
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Book Description
This volume is based on the successful 6th ChinaOCoJapan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory OCo additive problems, divisor problems, Diophantine equations OCo to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
Author: John Cardy
Publisher: Cambridge University Press
ISBN: 9780521715140
Category : Mathematics
Languages : en
Pages : 180
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Book Description
This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.
Author: Pertti Lounesto
Publisher: Cambridge University Press
ISBN: 0521005515
Category : Mathematics
Languages : en
Pages : 352
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Book Description
This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
Author: Alessio Corti
Publisher: Cambridge University Press
ISBN: 9780521636414
Category : Mathematics
Languages : en
Pages : 364
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Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.
Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 9780521811651
Category : Mathematics
Languages : en
Pages : 492
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Book Description
An introduction to the theory of operator spaces, emphasising applications to C*-algebras.
Author: S. Albeverio
Publisher: Cambridge University Press
ISBN: 0521148561
Category : Mathematics
Languages : en
Pages : 369
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Book Description
A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
