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The Riemann Zeta-Function: Theory and Applications
by Aleksandar Ivic

ISBN: 0486428133
Dover Publications Price: $29.95
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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.
Unabridged republication of The Riemann Zeta-Function: The Theory of the Riemann Zeta-Function with Applications, published by John Wiley & Sons, New York, 1985.


Table of Contents for The Riemann Zeta-Function: Theory and Applications
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

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