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The Riemann Zeta-Function: Theory and Applications
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The Riemann Zeta-Function: Theory and Applications Paperback - 2003

by Aleksandar IVIC


From the publisher

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.

Details

  • Title The Riemann Zeta-Function: Theory and Applications
  • Author Aleksandar IVIC
  • Binding Paperback
  • Edition Reprint
  • Pages 544
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, New York, U.S.A.
  • Date 2003-06-16
  • Features Bibliography, Index
  • ISBN 9780486428130 / 0486428133
  • Weight 1.55 lbs (0.70 kg)
  • Dimensions 9.16 x 6.34 x 1.08 in (23.27 x 16.10 x 2.74 cm)
  • Library of Congress subjects Functions, Zeta
  • Library of Congress Catalog Number 2003043460
  • Dewey Decimal Code 515.56
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The Riemann Zeta-Function: Theory and Applications
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The Riemann Zeta-Function: Theory and Applications

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