Applications of the Kuznetsov formula on GL(3)

We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl’s law, exceptional eigenvalues, a large sieve and L-functions are given.

Detalles Bibliográficos
Autor principal: Blomer, Valentin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2013
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4986316/
https://www.ncbi.nlm.nih.gov/pubmed/27570255
http://dx.doi.org/10.1007/s00222-013-0454-3
_version_ 1782448184352571392
author Blomer, Valentin
author_facet Blomer, Valentin
author_sort Blomer, Valentin
collection PubMed
description We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl’s law, exceptional eigenvalues, a large sieve and L-functions are given.
format Online
Article
Text
id pubmed-4986316
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-49863162016-08-26 Applications of the Kuznetsov formula on GL(3) Blomer, Valentin Invent Math Article We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl’s law, exceptional eigenvalues, a large sieve and L-functions are given. Springer Berlin Heidelberg 2013-02-06 2013 /pmc/articles/PMC4986316/ /pubmed/27570255 http://dx.doi.org/10.1007/s00222-013-0454-3 Text en © The Author(s) 2013 https://creativecommons.org/licenses/by/2.0/ Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Article
Blomer, Valentin
Applications of the Kuznetsov formula on GL(3)
title Applications of the Kuznetsov formula on GL(3)
title_full Applications of the Kuznetsov formula on GL(3)
title_fullStr Applications of the Kuznetsov formula on GL(3)
title_full_unstemmed Applications of the Kuznetsov formula on GL(3)
title_short Applications of the Kuznetsov formula on GL(3)
title_sort applications of the kuznetsov formula on gl(3)
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4986316/
https://www.ncbi.nlm.nih.gov/pubmed/27570255
http://dx.doi.org/10.1007/s00222-013-0454-3
work_keys_str_mv AT blomervalentin applicationsofthekuznetsovformulaongl3

Ejemplares similares