Riemann zeta-function: theory and applications

By:

Ivic, Aleksandar

Publication details: Dover Publications, 2003. New York:Description: xix, 517 p.; pb; 23 cmISBN:

9780486428130

Subject(s):

DDC classification:

515.56 IVI

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.56 IVI (Browse shelf(Opens below))	Available		029234

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.

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