The maximum size of L-functions
We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of L-functions, and also by assuming a random model for the primes.
Gespeichert in:
| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2007-08, Vol.2007 (609), p.215-236 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of L-functions, and also by assuming a random model for the primes. |
|---|---|
| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/CRELLE.2007.064 |