The Riemann Zeta-function: Theory and Applications - Brossura

Ivic, A.

Brossura

ISBN 10: 0486428133 ISBN 13: 9780486428130

Casa editrice: Dover Pubns, 2003

Riassunto

"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.

Su questo libro

Contenuti:

Notation 1. Elementary Theory 2. Exponential Integrals and Exponential Sums 3. The Voronoi Summation Formula 4. The Approximate Functional Equations 5. The Fourth Power Moment 6. The Zero-free Region 7. Mean Value Estimates Over Short Intervals 8. Higher Power Moments 9. Omega Results 10. Zeros on the Critical Line 11. Zero-density Estimates 12. The Distribution of Primes 13. The Dirichlet Divisor Problem 14. Various Other Divisor Problems 15. Atkinson's Formula for the Mean Square Appendix. Indexes

Product Description:

Comprehensive and coherent, this text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, distribution of primes, Dirichlet and various other divisor problems, and more. 1985 edition.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• ISBN 10: 0486428133
• ISBN 13: 9780486428130
• Rilegatura: Copertina flessibile
• Numero di pagine: 517