Exploring the Riemann Zeta Function 190 years from Riemann's Birth /
This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towar...
Συγγραφή απο Οργανισμό/Αρχή: | |
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Άλλοι συγγραφείς: | , , |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface (Dyson)
- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker)
- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub)
- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus)
- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec)
- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec)
- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield)
- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic)
- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Yıldırım)
- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski)
- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian)
- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider)
- 11. Reading Riemann (S.J. Patterson)
- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlichłł).