The Riemann Zeta-Function: Theory A: Theory and Applications

Aleksandar Ivic

ISBN 10: 0486428133 / ISBN 13: 9780486428130

Published by Dover Publications Inc., 2003

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Bibliographic Details

• Title: The Riemann Zeta-Function: Theory A: Theory and Applications
• Publisher: Dover Publications Inc.
• Publication Date: 2003
• Language: English
• ISBN 10: 0486428133
• ISBN 13: 9780486428130
• Binding: Paperback / softback
• Condition: New

About this title

Synopsis

"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.