On the 4-norm of an automorphic form

Details On the 4-norm of an automorphic form On the 4-norm of an automorphic form

2011-10-21

arxiv.org/abs/1110.4717v1

Mathematics

Number Theory

Scientific paper

We prove the optimal upper bound sum || f ||_4^4 << q^{eps} where f runs over
an orthonormal basis of Maass cusp forms of prime level q and bounded spectral
parameter.

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