We obtain an conditional result for the regularized fourth moment of some newform Eisenstein series, using a recipe by Conrey, et al. We also discuss the fourth moment of truncated newform Eisenstein series.
On the regularized $L^4$-norm of Eisenstein series in the level aspect
Super-positivity of a family of L-functions in the level aspect
A conjecture for the regularized fourth moment of Eisenstein series
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