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Large values of cusp forms on GL(n)

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arxiv 1411.4317 v4 pith:YVCX55R4 submitted 2014-11-16 math.NT math.RTmath.SP

Farrell Brumley , Nicolas Templier This is my paper · ORCID
classification math.NTmath.RTmath.SP
keywords behaviorboundcertainconsequencecuspeigenfunctionsestablishfinite
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We establish the transition behavior of Jacquet-Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds, the local bound for normalized Laplace eigenfunctions does not hold globally.

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Cited by 1 Pith paper

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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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