The sup-norm problem for PGL(4)

Valentin Blomer; Péter Maga

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arXiv · 1404.4331

The sup-norm problem for PGL(4)

Valentin Blomer·Péter Maga

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Abstract

Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost all cusp forms). We show a power-saving sup-norm bound in terms of lambda (relative to the generic bound) for F restricted to a compact set.

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Valentin Blomer, Péter Maga. 2014-09-27. The sup-norm problem for PGL(4). https://arxiv.org/abs/1404.4331

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