TY  - BOOK
AU  - Ivic, Alexander
TI  - Riemann zeta function: Theory and applications
SN  - 9780486428130
U1  - 512.73 23rd
PY  - 2003///
CY  - New York
PB  - Dover Publications
KW  - Mathematics
KW  - Riemann Zeta-Function
N2  - "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
ER  -