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

24 Mar 2020 Pan Jiakun

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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  • NUMBER THEORY