Nodal Domains of Maass Forms I

Author(s): Ghosh, Amit; Reznikov, Andre; Sarnak, Peter C

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DC Field	Value	Language
dc.contributor.author	Ghosh, Amit	-
dc.contributor.author	Reznikov, Andre	-
dc.contributor.author	Sarnak, Peter C	-
dc.date.accessioned	2018-07-20T15:11:17Z	-
dc.date.available	2018-07-20T15:11:17Z	-
dc.date.issued	2013-10	en_US
dc.identifier.citation	Ghosh, Amit, Reznikov, Andre, Sarnak, Peter. (2013). Nodal Domains of Maass Forms I. GEOMETRIC AND FUNCTIONAL ANALYSIS, 23 (1515 - 1568. doi:10.1007/s00039-013-0237-4	en_US
dc.identifier.issn	1016-443X	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr14693	-
dc.description.abstract	This paper deals with some questions that have received a lot of attention since they were raised by Hejhal and Rackner in their 1992 numerical computations of Maass forms. We establish sharp upper and lower bounds for the L (2)-restrictions of these forms to certain curves on the modular surface. These results, together with the Lindelof Hypothesis and known subconvex L (a)-bounds are applied to prove that locally the number of nodal domains of such a form goes to infinity with its eigenvalue.	en_US
dc.format.extent	1515 - 1568	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	GEOMETRIC AND FUNCTIONAL ANALYSIS	en_US
dc.rights	Author's manuscript	en_US
dc.title	Nodal Domains of Maass Forms I	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1007/s00039-013-0237-4	-
dc.date.eissued	2013-07-09	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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