Markoff triples and strong approximation

Author(s): Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter C

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DC Field	Value	Language
dc.contributor.author	Bourgain, Jean	-
dc.contributor.author	Gamburd, Alexander	-
dc.contributor.author	Sarnak, Peter C	-
dc.date.accessioned	2018-07-20T15:11:16Z	-
dc.date.available	2018-07-20T15:11:16Z	-
dc.date.issued	2016-02	en_US
dc.identifier.citation	Bourgain, Jean, Gamburd, Alexander, Sarnak, Peter. (2016). Markoff triples and strong approximation. COMPTES RENDUS MATHEMATIQUE, 354 (131 - 135. doi:10.1016/j.crma.2015.12.006	en_US
dc.identifier.issn	1631-073X	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr17x0c	-
dc.description.abstract	We investigate the transitivity properties of the group of morphisms generated by Vieta involutions on the solutions in congruences to the Markoff equation as well as to other Markoff type affine cubic surfaces. These are dictated by the finite (Q) over bar orbits of these actions and these can be determined effectively. The results are applied to give forms of strong approximation for integer points, and to sieving, on these surfaces. (C) 2016 Published by Elsevier Masson SAS on behalf of Academie des sciences.	en_US
dc.format.extent	131 - 135	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	COMPTES RENDUS MATHEMATIQUE	en_US
dc.rights	Author's manuscript	en_US
dc.title	Markoff triples and strong approximation	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1016/j.crma.2015.12.006	-
dc.date.eissued	2016-01-26	en_US
dc.identifier.eissn	1778-3569	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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