The Riemann Zeta-Function: Theory and Applications

The Riemann Zeta-Function: Theory and Applications

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by Aleksandar 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…  See more details below

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:
9780486140049
Publisher:
Dover Publications
Publication date:
06/14/2012
Series:
Dover Books on Mathematics
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
562
File size:
40 MB
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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.