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Analytic Number Theory : London Mathematical Society Lecture Notes - Y. Motohashi

Analytic Number Theory

London Mathematical Society Lecture Notes

By: Y. Motohashi (Editor), Yoichi Motohashi (Editor)

Paperback Published: 15th December 1997
ISBN: 9780521625128
Number Of Pages: 396

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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.

' ... a good overview over the recent state of art in this part of Number Theory.' Monatshefte fur Mathematik ' ... an authoritative, up-to-date review of analytic number theory. This will be a valuable book for graduates and researchers working in number theory.' L'Enseignement Mathematique

Foreword
Speakers
Subvarieties of linear tori and the unit equation A survey
Remarks on the analytic complexity of zeta functions
Normal distribution of zeta functions and applications
Goldbach numbers and uniform distribution
The number of algebraic numbers of given degree approximating a given algebraic number
The Brun-Titchmarsh theorem
A decomposition of Riemann's Zeta function
Multiplicative properties of consecutive integers
On the equation (x^m - 1)/(x - 1) = y^q with x power
Congruence families of exponential sums
On some results concerning the Riemann hypothesis
Mean values of Dirichlet series via Laplace transforms
The mean square of the error term in a generalization of the Dirichlet divisor problem
The Goldbach problem with primes in arithmetic progressions
On the sum of three squares of primes
Trace formula over the hyperbolic upper half space
Modular forms and the Chebotarev density theoremp. II
Congruences between modular forms
Regular singularities in G-function theory
Spectral theory and L-functions
Irrationality criteria for numbers of Mahler's type
Hypergeometric functions and irrationality measures
Forms in many variables
Remark on the Kuznetsov trace formula
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521625128
ISBN-10: 0521625122
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 396
Published: 15th December 1997
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.24
Weight (kg): 0.58

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