The Riemann Zeta-Function: Theory A

Klappentext 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. Inhaltsverzeichnis Notation1. Elementary Theory2. Exponential Integrals and Exponential Sums3. The Voronoi Summation Formula4. The Approximate Functional Equations5. The Fourth Power Moment6. The Zero-free Region7. Mean Value Estimates Over Short Intervals8. Higher Power Moments9. Omega Results10. Zeros on the Critical Line11. Zero-density Estimates12. The Distribution of Primes13. The Dirichlet Divisor Problem14. Various Other Divisor Problems15. Atkinson's Formula for the Mean Square Appendix. Indexes

Inhalt
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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