TY  - GEN
AU  - Ivic, Aleksandar 
TI  - Riemann zeta-function: theory and applications
SN  - 9780486428130
U1  - 515.56 
PY  - 2003///
CY  - New York
PB  - Dover Publications
KW  - Zeta Functions
KW  - Divisor Summatory Functions
KW  - Mathematics
N2  - 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
ER  -