Restrictions of SL₃ Maass forms to maximal flat subspaces

2013/08/04 by Simon Marshall, Marshall, Simon · 1 citation
Mathematics · #11F60 #11F67 #35P20 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analysis of PDEs (math.AP) #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.AP #math.NT #msc:11F60 #msc:11F67 #msc:35P20

paper · pdf · doi:10.48550/arxiv.1308.0838

22 pages

openalex publication_date 2013/08/04 · arxiv created 2014/08/26 · arxiv updated 2014/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let ψbe a Hecke-Maass form on a cubic division algebra over \Q. We apply arithmetic amplification to improve the local bound for the L² norm of ψrestricted to maximal flat subspaces.

Citations

• Subconvexity for sup-norms of automorphic forms on PGL(n)

Cited by

• Kakeya-Nikodym norms of Maass forms on \rmU(2,1)

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