000			01567nam a2200253Ia 4500
003			OSt
005			20240130203811.0
008			231229s9999 xx 000 0 und d
020			_a9780486428130
040			_cIISER BPR
041			_aEng
082			_a512.73 _bIVI _223rd
100			_aIvic, Alexander
245		4	_aRiemann zeta function : _bTheory and applications
250			_a1st ed.
260			_aNew York: _bDover Publications, _c2003
300			_axxii, 517p. : _b(pbk). ; _c23cm
520			_a"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. Includes references and author index.
650			_aMathematics
650			_aRiemann Zeta-Function
942			_cBK _2ddc
947			_a2493.5022249999997
948			_a0.22
999			_c3182 _d3182