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Restrictions of SL_3 Maass forms to maximal flat subspaces

Number Theory 2014-08-27 v3 Analysis of PDEs

Abstract

Let \psi be a Hecke-Maass form on a cubic division algebra over \Q. We apply arithmetic amplification to improve the local bound for the L^2 norm of \psi restricted to maximal flat subspaces.

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Cite

@article{arxiv.1308.0838,
  title  = {Restrictions of SL_3 Maass forms to maximal flat subspaces},
  author = {Simon Marshall},
  journal= {arXiv preprint arXiv:1308.0838},
  year   = {2014}
}

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22 pages