The Riemann Zeta-Function: Theory and Applications (Dover Books on Mathematics)
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- Synopsis
- 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.
- Copyright:
- 1985
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 562 Pages
- ISBN-13:
- 9780486140049
- Related ISBNs:
- 9780486428130
- Publisher:
- Dover Publications
- Date of Addition:
- 05/02/23
- Copyrighted By:
- Aleksander Ivic
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.