Gaps between non-zero Fourier coefficients of cusp forms of level one
Event details
| Date | 18.09.2012 |
| Hour | 15:00 › 16:00 |
| Speaker | Satadal Ganguly (ISIL, Kolkata) |
| Location | |
| Category | Conferences - Seminars |
Abstract:
We shall discuss the following question of Serre: How large can the length of a string of consecutive zero Fourier coefficients of a modular form be?
Using certain congruences for Hecke eigenvalues due to Hatada, it will be shown that there are always non-zero Fourier coefficients in intervals of the type $[X, X+O(X^1/4)]$ for all $X$ sufficiently large. This is a joint work with Dr. Somya Das of TIFR, Bombay.
We shall discuss the following question of Serre: How large can the length of a string of consecutive zero Fourier coefficients of a modular form be?
Using certain congruences for Hecke eigenvalues due to Hatada, it will be shown that there are always non-zero Fourier coefficients in intervals of the type $[X, X+O(X^1/4)]$ for all $X$ sufficiently large. This is a joint work with Dr. Somya Das of TIFR, Bombay.
Practical information
- Informed public
- Free
Contact
- Monique Kiener