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arXiv:2003.10995 [math.NT]AbstractReferencesReviewsResources

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

Jiakun Pan

Published 2020-03-24Version 1

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

Comments: 12 pages
Categories: math.NT
Subjects: 11F12, 11M99, 81Q50
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