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The average of $L^4$-norms of holomorphic cusp forms

Number Theory 2013-05-09 v3

Abstract

We find the average value of the L4L^4-norm of holomorphic Hecke cusp forms of weight within a dyadic interval, up to an error which saves a power of the weight.

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Cite

@article{arxiv.1210.0740,
  title  = {The average of $L^4$-norms of holomorphic cusp forms},
  author = {Rizwanur Khan},
  journal= {arXiv preprint arXiv:1210.0740},
  year   = {2013}
}

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17 pages