English

On the 4-norm of an automorphic form

Number Theory 2011-10-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1110.4717,
  title  = {On the 4-norm of an automorphic form},
  author = {Valentin Blomer},
  journal= {arXiv preprint arXiv:1110.4717},
  year   = {2011}
}