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Upper bounds for Maass forms on semisimple groups

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arxiv 1405.7033 v2 pith:PGLK4K6Q submitted 2014-05-27 math.NT

Simon Marshall This is my paper · ORCID
classification math.NT
keywords formsgroupssemisimpleboundboundsgrouphecke-maassisogenous
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We prove a power saving over the local bound for the sup norm of Hecke-Maass forms on any quasi-split semisimple real group that is not isogenous to a product of odd special unitary groups.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Extensions of integral orthoregular sets and icubes

    math.NT 2025-08 conditional novelty 8.0 of 10

    Every Gaussian-integer icube in dimension 4, and every one in dimension 3 whose norm is a sum of two squares, extends to an equal-length integral orthogonal basis; in dimension 4k+2 the norm must be a sum of two squares.

  2. 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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