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9780486428130

Riemann Zeta-Function Theory and Applications

Riemann Zeta-Function Theory and Applications
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  • ISBN-13: 9780486428130
  • ISBN: 0486428133
  • Publisher: Dover Publications, Incorporated

AUTHOR

Ivic, Aleksandar

SUMMARY

"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 ed.Ivic, Aleksandar is the author of 'Riemann Zeta-Function Theory and Applications' with ISBN 9780486428130 and ISBN 0486428133.

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