Using a reformulation of the Eichler-Selberg trace formula, due to Frechette, Ono and Papanikolas, we consider the problem of the vanishing (resp. non-vanishing) of traces of Hecke operators on spaces ...
We investigate the combinatorial properties of the traces of the nth Hecke operators on the spaces of weight 2k cusp forms of level N. We establish examples in which these traces are expressed in ...
Hecke operators are an indispensable tool to understand the structure of spaces of classical modular forms, and more generally of the cohomology of automorphic vector bundles on Shimura varieties. In ...