The Riemann zeta-function: theory and applications
Aleksandar Ivic
"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.
Thể loại:
Năm:
2003
In lần thứ:
Reprint
Nhà xuát bản:
Dover Publications
Ngôn ngữ:
english
Trang:
523
ISBN 10:
0486428133
ISBN 13:
9780486428130
Loạt:
Dover Books on Mathematics
File:
DJVU, 6.01 MB
IPFS:
,
english, 2003