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math.NT2022★ 1 cited
-Norm Bounds for Automorphic Forms via Spectral Reciprocity
Peter Humphries, Rizwanur Khan
Let be a Hecke-Maass cusp form on the modular surface , namely an -normalised nonconstant Laplacian eigenfunction on ${\rm SL}_…
math.NT2022★ 3 cited
The Twelfth Moment of Hecke -Functions in the Weight Aspect
Peter Humphries, Rizwanur Khan
We prove an upper bound for the twelfth moment of Hecke -functions associated to holomorphic Hecke cusp forms of weight in a dyadic interval as tends…