The Riemann Zeta-Function : Theory and Applications
Overview
"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.
Customers Also Bought
Details
- ISBN-13: 9780486428130
- ISBN-10: 0486428133
- Publisher: Dover Publications
- Publish Date: June 2003
- Dimensions: 9.16 x 6.34 x 1.08 inches
- Shipping Weight: 1.55 pounds
- Page Count: 544
Related Categories
