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math.NT2026
Periodicity of traces of Hecke operators modulo prime powers
Jonas Bergström, Sjoerd de Vries
We study traces of Hecke operators on spaces of elliptic cusp forms and Drinfeld cusp forms and show that, modulo any prime power, these traces are periodic in the weight.
math.NT2025
A Ramanujan bound for Drinfeld modular forms
Sjoerd de Vries
We prove a Lefschetz trace formula for Böckle-Pink crystals on tame Deligne-Mumford stacks of finite type over and apply it to the crystal associated to the univers…