L⁴-norms of Hecke newforms of large level
classification
🧮 math.NT
keywords
heckelargelevelachievedboundestimatefixedfunction
read the original abstract
We prove a new upper bound for the $L^4$-norm of a holomorphic Hecke newform of large fixed weight and prime level $q\to \infty$. This is achieved by proving a sharp mean value estimate for a related $L$-function on GL(6)
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