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

Published 24 Mar 2020 in math.NT | (2003.10995v1)

Abstract: 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.

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