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Spectral fourth moments of Hecke--Maaß cusp forms

Assing, Edgar et al.
arXiv (All) · Papers
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11f72number-theory
In this note, we establish essentially optimal bounds for certain spectral moments of automorphic forms for $\mathrm{GL}(2)$. More precisely, we consider the family of Hecke--Maaß cusp forms with spectral parameter in a dyadic interval and study the fourth moment of these forms evaluated at a Heegne
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