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The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics) - Hardcover

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9780486789019: The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)

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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.

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  • PublisherDover
  • Publication date2013
  • ISBN 10 0486789012
  • ISBN 13 9780486789019
  • BindingHardcover
  • LanguageEnglish
  • Number of pages562
  • Rating
    • 4.11 out of 5 stars
      9 ratings by Goodreads

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9780486428130: The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)

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ISBN 10:  0486428133 ISBN 13:  9780486428130
Publisher: Dover Publications, 2003
Softcover