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.
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In this reprint of his 1985 text, Ivic (U. of Belgrade) presents a comprehensive account of the theory and applications of the Riemann zeta- function, a type of function that is important for analytic number theory. Starting with elementary theory, the college- level text provides end-of-chapter notes on the history of each topic, and chapters exam
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