Sup-norm of Hecke-Laplace Eigenforms on $S^3$

Published 9 Nov 2018 in math.NT | (1811.03949v2)

Abstract: We prove sub-convex bounds on the fourth moment of Hecke-Laplace eigenforms on $S^3$. As a corollary, we get a bound on the sup-norm on an individual eigenform, which constitutes an improvement over what is achievable through employing the Iwaniec-Sarnak amplifier.

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Authors (1)

Raphael S. Steiner

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