Download The Riemann Zeta-Function: Theory and Applications (Dover by Aleksandar Ivic PDF

By Aleksandar Ivic

"A thorough and simply obtainable account."—MathSciNet, Mathematical experiences on the internet, American Mathematical Society. This vast survey provides a finished and coherent account of Riemann zeta-function idea and purposes. beginning with hassle-free conception, it examines exponential integrals and exponential sums, the Voronoi summation formulation, the approximate sensible equation, the fourth strength second, the zero-free quarter, suggest price estimates over brief durations, greater strength moments, and omega effects. extra issues comprise zeros at the severe line, zero-density estimates, the distribution of primes, the Dirichlet divisor challenge and diverse different divisor difficulties, and Atkinson's formulation for the suggest sq.. End-of-chapter notes offer the background of every chapter's subject and allude to comparable effects now not coated by way of the publication. 1985 edition.

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