Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

A Ramanujan bound for Drinfeld modular forms (2407.04554v1)

Published 5 Jul 2024 in math.NT and math.AG

Abstract: In this paper, we prove a Lefschetz trace formula for B\"ockle-Pink crystals on tame Deligne-Mumford stacks of finite type over $\mathbb{F}_q$ and apply it to the crystal associated to the universal Drinfeld module. Combined with the Eichler-Shimura theory developed by B\"ockle, this leads to a trace formula for Hecke operators on Drinfeld modular forms. As a corollary, we deduce a Ramanujan bound on the traces of Hecke operators.

Citations (1)

Summary

We haven't generated a summary for this paper yet.