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{ "item_title" : "The Riemann Zeta-Function", "item_author" : [" Aleksandar IVIC "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/48/642/813/0486428133_b.jpg", "price_data" : { "retail_price" : "29.95", "online_price" : "29.95", "our_price" : "29.95", "club_price" : "29.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
The Riemann Zeta-Function|Aleksandar IVIC

The Riemann Zeta-Function : Theory and Applications

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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.

Details

  • ISBN-13: 9780486428130
  • ISBN-10: 0486428133
  • Publisher: Dover Publications
  • Publish Date: June 2003
  • Dimensions: 9.16 x 6.34 x 1.08 inches
  • Shipping Weight: 1.55 pounds
  • Page Count: 544

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