Hybrid bounds for automorphic forms on ellipsoids over number fields

Valentin Blomer, Philippe Michel

Type: Article

Publication Date: 2012-12-20

Citations: 16

DOI: https://doi.org/10.1017/s1474748012000874

Abstract

We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds of arithmetic type. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realized as adelic quotients of quaternion algebras over totally real number fields.

Locations

Journal of the Institute of Mathematics of Jussieu - View
reroDoc Digital Library - View - PDF
arXiv (Cornell University) - View - PDF
Infoscience (Ecole Polytechnique Fédérale de Lausanne) - View - PDF
GoeScholar The Publication Server of the Georg-August-Universität Göttingen (Georg-August-Universität Göttingen) - View - PDF
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Works Cited by This (25)

Action	Title	Year	Authors
+	Rational Quadratic Forms	1985	Winfried Scharlau
+ PDF Chat	Arithmetic of quaternary quadratic forms	1976	Paul Ponomarev
+	Arithmetic Quantum Chaos	2006	Jens Marklof
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras
+	Rational Quadratic Forms	1982	J. W. S. Cassels
+ PDF Chat	On the Sup-Norm of Maass Cusp Forms of Large Level: II	2011	Gergely Harcos Nicolas Templier
+	Class group L-functions	1995	William Duke John Friedlander Henryk Iwaniec
+ PDF Chat	Sparse equidistribution problems, period bounds and subconvexity	2010	Akshay Venkatesh
+ PDF Chat	Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials	1994	Paul Nevai Tamás Erdélyi Alphonse Magnus
+	Representation of Lie Groups and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk