Riemann zeta-function: theory and applications
Ivic, Aleksandar
Riemann zeta-function: theory and applications - New York: Dover Publications, 2003. - xix, 517 p.; pb; 23 cm.
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.
9780486428130
Zeta Functions
Divisor Summatory Functions
Mathematics
515.56 / IVI
Riemann zeta-function: theory and applications - New York: Dover Publications, 2003. - xix, 517 p.; pb; 23 cm.
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.
9780486428130
Zeta Functions
Divisor Summatory Functions
Mathematics
515.56 / IVI
