Riemann zeta function : Theory and applications
Ivic, Alexander
Riemann zeta function : Theory and applications - 1st ed. - New York: Dover Publications, 2003 - xxii, 517p. : (pbk). ; 23cm
"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.
9780486428130
Mathematics
Riemann Zeta-Function
512.73 / IVI
Riemann zeta function : Theory and applications - 1st ed. - New York: Dover Publications, 2003 - xxii, 517p. : (pbk). ; 23cm
"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.
9780486428130
Mathematics
Riemann Zeta-Function
512.73 / IVI