On the sup-norm of SL 3 Hecke–Maass cusp forms
Roman Holowinsky; Kevin Nowland; Guillaume Ricotta; Emmanuel Royer
Publications Mathématiques de Besançon no. 2  (2019), p. 53-80

This work contains a proof of a non-trivial explicit quantitative bound in the eigenvalue aspect for the sup-norm of a SL 3 () Hecke–Maass cusp form restricted to a compact set.

Ce travail contient une preuve d’une borne non-triviale explicite quantitative par rapport à la valeur propre pour la norme infinie d’une forme de Hecke–Maass cuspidale de SL 3 () restreinte à un ensemble compact.

Received : 2018-05-15
Published online : 2019-12-06
DOI : https://doi.org/10.5802/pmb.36
Classification:  11F55,  11F60,  11F72,  11H55,  11D75,  43A90,  43A80
Keywords: Automorphic forms, sup-norm, pre-trace formula, amplification method, Paley–Wiener theorem, Helgason transform, spherical function
@article{PMB_2019___2_53_0,
     author = {Roman Holowinsky and Kevin Nowland and Guillaume Ricotta and Emmanuel Royer},
     title = {On the sup-norm of $SL\_3$ Hecke--Maass cusp forms},
     journal = {Publications Math\'ematiques de Besan\c con},
     publisher = {Presses universitaires de Franche-Comt\'e},
     number = {2},
     year = {2019},
     pages = {53-80},
     doi = {10.5802/pmb.36},
     language = {en},
     url = {https://pmb.centre-mersenne.org/item/PMB_2019___2_53_0}
}
Holowinsky, Roman; Nowland, Kevin; Ricotta, Guillaume; Royer, Emmanuel. On the sup-norm of $SL_3$ Hecke–Maass cusp forms. Publications Mathématiques de Besançon, no. 2 (2019), pp. 53-80. doi : 10.5802/pmb.36. pmb.centre-mersenne.org/item/PMB_2019___2_53_0/

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