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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The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)
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ISBN 10: 0486428133
ISBN 13: 9780486428130
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The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)
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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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ISBN 10: 0486428133
ISBN 13: 9780486428130
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Riemann Zeta-function : Theory and Applications
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The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)
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The Riemann Zeta-Function: Theory a (Paperback)
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ISBN 10: 0486428133
ISBN 13: 9780486428130
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Paperback. Condition: new. Paperback. ""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. Comprehensive and coherent, this text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, distribution of primes, Dirichlet and various other divisor problems, and more. 1985 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486428130