Gaps between consecutive zeros of the Riemann zeta-function on the critical line |
| |
| Authors: | Aleksandar Ivić Matti Jutila |
| |
| Institution: | 1. Katedra Matematike, RGF-a Universiteta u Beogradu, Dju?ina 7, 11000, Beograd, Jugoslavija
2. Matematiikan Laitos, Turun Yliopisto, SF-20500, Turku 50, Finland
|
| |
| Abstract: | LetR denote the number of gaps of length at leastV between consecutive zeros of the function ζ(1/2+i t) in the interval 0,T]. It is proved that $$R<< TV^{ - 2} \min (\log T, V^{ - 1} \log ^5 T).$$ The same problem is also discussed for Dirichlet series associated with cusp forms. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
