Sup-norms of Eigenfunctions on Arithmetic Ellipsoids

DOI10.1093/imrn/rnq280zbMath1294.11075OpenAlexW2040417094WikidataQ57268214 ScholiaQ57268214MaRDI QIDQ3100972

Valentin Blomer, Philippe Michel

Publication date: 22 November 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/170800

zbMATH Keywords

Laplace operatoreigenfunctionHecke operatorquaternion algebraEichler orderideal classarithmetic ellipsoidhybrid sup norm

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ Sup-norm of Hecke-Laplace eigenforms on \(S^3\) ⋮ Concentration of closed geodesics in the homology of modular curves ⋮ Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups

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