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

2020/03/24 by Pan, Jiakun
#11M99 #FOS: Mathematics #Number Theory (math.NT) #Primary: 11F12 #secondary: 81Q50

paper · doi:10.48550/arxiv.2003.10995

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 Djanković and Khan in the spectral aspect.

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