A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on $GL(n,\mathbb{R})$ with applications

06 nov. 2020·
Yuk-Kam Lau
,
Ming Ho Ng
Emmanuel Royer
Emmanuel Royer
,
Yingnan Wang
· 0 min. de lecture
Résumé
This work contains a proof of a non-trivial explicit quantitative bound in the eigenvalue aspect for the sup-norm of a $\mathrm{SL}_3(\mathbb{Z})$ Hecke–Maass cusp form restricted to a compact set.
Type
Publication
Revista Matemática Iberoamericana 37, No. 4, 1539-1552