Arithmetic and statistics of sums of eigenvalues of Hecke operators
Sudhir Pujahari (University of Warsaw)
Abstract: In the first part of the talk, we will study about the distribution of gaps between eigenvalues of Hecke operators in both horizontal and vertical settings. As an application of this we will obtain a strong multiplicity one theorem and evidence towards Maeda conjecture. The horizontal setting is a joint work with M. Ram Murty. In the second part of the talk, using recent developments in the theory of l-adic Galois representations we will study the normal number of prime factors of sums of Fourier coefficients of eigenforms. Moreover, we will see the distribution of distinct prime factors of sums of Fourier coefficients of eigenforms. The final part is a joint work with M. Ram Murty and V. Kumar Murty.
number theory
Audience: researchers in the topic
| Organizers: | Jakub Byszewski*, Bartosz Naskręcki, Bidisha Roy, Masha Vlasenko* |
| *contact for this listing |