Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents Volume 2

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents Volume 2

Broughan, Kevin

Cambridge University Press

11/2017

522

Dura

Inglês

9781107197121

15 a 20 dias

870

- 1. Introduction
- 2. Series equivalents
- 3. Banach and Hilbert space methods
- 4. The Riemann Xi function
- 5. The de Bruijn-Newman constant
- 6. Orthogonal polynomials
- 7. Cyclotomic polynomials
- 8. Integral equations
- 9. Weil's explicit formula, inequality and conjectures
- 10. Discrete measures
- 11. Hermitian forms
- 12. Dirichlet L-functions
- 13. Smooth numbers
- 14. Epilogue
- Appendix A. Convergence of series
- Appendix B. Complex function theory
- Appendix C. The Riemann-Stieltjes integral
- Appendix D. The Lebesgue integral on R
- Appendix E. Fourier transform
- Appendix F. The Laplace transform
- Appendix G. The Mellin transform
- Appendix H. The gamma function
- Appendix I. Riemann Zeta function
- Appendix J. Banach and Hilbert spaces
- Appendix K. Miscellaneous background results
- Appendix L. GRHpack mini-manual
- References
- Index.
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