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On the sup-norm of SL(3) Hecke-Maass cusp forms

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arxiv 1404.3622 v5 pith:UIKMSTLU submitted 2014-04-14 math.NT

R. Holowinsky , K. Nowland G. Ricotta , E. Royer This is my paper · ORCID
classification math.NT
keywords cusphecke-maasssup-normaspectboundcompactcontainseigenvalue
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This work contains a proof of a non-trivial explicit quantitative bound in the eigenvalue aspect for the sup-norm of a SL(3,Z) Hecke-Maass cusp form restricted to a compact set.

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  1. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

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