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On the regularized $L^4$-norm of Eisenstein series in the level aspect

Number Theory 2020-03-25 v1

Abstract

We prove an asymptotic formula expressing the regularized fourth moment of all newform Eisenstein series of primitive nebentypus as a mean value of LL-functions. This is an analogue of the recent work of Djankovi\'c and Khan in the spectral aspect.

Keywords

Cite

@article{arxiv.2003.10995,
  title  = {On the regularized $L^4$-norm of Eisenstein series in the level aspect},
  author = {Jiakun Pan},
  journal= {arXiv preprint arXiv:2003.10995},
  year   = {2020}
}

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12 pages