The Riemann Zeta-Function: Theory and Applications

The Riemann Zeta-Function: Theory and Applications

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by Aleksandar Ivic, A. IVIC
     
 

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"A thorough and easily accessible account." — MathSciNet, Mathematical Reviews on the Web, American Mathematical Society. This extensive survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications. Starting with elementary theory, it examines exponential integrals and exponential sums, the Voronoi summation

Overview


"A thorough and easily accessible account." — MathSciNet, Mathematical Reviews on the Web, American Mathematical Society. This extensive survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications. Starting with elementary theory, it examines exponential integrals and exponential sums, the Voronoi summation formula, the approximate functional equation, the fourth power moment, the zero-free region, mean value estimates over short intervals, higher power moments, and omega results. Additional topics include zeros on the critical line, zero-density estimates, the distribution of primes, the Dirichlet divisor problem and various other divisor problems, and Atkinson's formula for the mean square. End-of-chapter notes supply the history of each chapter's topic and allude to related results not covered by the book. 1985 edition.

Product Details

ISBN-13:
9780486428130
Publisher:
Courier Corporation
Publication date:
06/16/2003
Series:
Dover Books on Mathematics Series
Edition description:
Reprint
Pages:
546
Sales rank:
1,118,153
Product dimensions:
6.14(w) x 9.21(h) x 1.10(d)

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The Riemann Zeta-Function: Theory and Applications 5 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago
Wait, no. I'm &#9654. Sorry.