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25 Remote Warehouse Mathematics- Number Theory

Other titles in the London Mathematical Society Lecture Notes series:

Analytic Number Theory

by

Analytic Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory.

Synopsis:

Contains up-to-date contributions from leading international figures in analytic number theory. Topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations.

Synopsis:

Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.

Table of Contents

Foreword; Speakers; 1. Subvarieties of linear tori and the unit equation A survey E. Bombieri; 2. Remarks on the analytic complexity of zeta functions E. Bombieri; 3. Normal distribution of zeta functions and applications E. Bombieri and A. Perelli; 4. Goldbach numbers and uniform distribution J. Brüdern and A. Perelli; 5. The number of algebraic numbers of given degree approximating a given algebraic number J.-H. Evertse; 6. The Brun-Titchmarsh theorem J. Friedlander and H. Iwaniec; 7. A decomposition of Riemann's Zeta function A. Granville; 8. Multiplicative properties of consecutive integers A. J. Hildebrand; 9. On the equation (x^m - 1)/(x - 1) = y^q with x power N. Hirata-Kohno and T. N. Shorey; 10. Congruence families of exponential sums M. N. Huxley and N. Watt; 11. On some results concerning the Riemann hypothesis A. Ivic; 12. Mean values of Dirichlet series via Laplace transforms M. Jutila; 13. The mean square of the error term in a generalization of the Dirichlet divisor problem K.-Y. Lam and K.-M. Tsang; 14. The Goldbach problem with primes in arithmetic progressions M.-C. Liu and T. Zhan; 15. On the sum of three squares of primes H. Mikawa; 16. Trace formula over the hyperbolic upper half space Y. Motohashi; 17. Modular forms and the Chebotarev density theorem II V. K. Murty; 18. Congruences between modular forms M. R. Murty; 19. Regular singularities in G-function theory M. Nagata; 20. Spectral theory and L-functions P. Sarnak; 21. Irrationality criteria for numbers of Mahler's type T. N. Shorey and R. Tijdeman; 22. Hypergeometric functions and irrationality measures C. Viola; 23. Forms in many variables T. D. Woley; 24. Remark on the Kuznetsov trace formula E. Yoshida.

Product Details

ISBN:
9780521625128
Author:
Motohashi, Y.
Publisher:
Cambridge University Press
Editor:
Motohashi, Yoichi
Author:
Motohashi, Yoichi
Author:
Cassels, J. W. S.
Location:
Cambridge, UK ;
Subject:
Number Theory
Subject:
Number theory -- Congresses.
Subject:
Mathematics-Number Theory
Edition Description:
Trade paper
Series:
London Mathematical Society Lecture Note Series
Series Volume:
247
Publication Date:
19971031
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
1 b/w illus.
Pages:
396
Dimensions:
5.98x9.01x.88 in. 1.27 lbs.

Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Analytic Number Theory New Trade Paper
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Product details 396 pages Cambridge University Press - English 9780521625128 Reviews:
"Synopsis" by , Contains up-to-date contributions from leading international figures in analytic number theory. Topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations.
"Synopsis" by , Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.
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