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the riemann zeta-function,theory and applications (in English)
Aleksandar IVIC
(Author)
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Dover Publications
· Paperback
the riemann zeta-function,theory and applications (in English) - IVIC, Aleksandar
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Synopsis "the riemann zeta-function,theory and applications (in English)"
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 book is written in English.
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