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

preprint2020arXivOpen access

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 Djanković and Khan in the spectral aspect.

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

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On the regularized L4L^4L4-norm of Eisenstein series in the level aspect

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