Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes

dc.contributor.author	Arnold, Vladimir
dc.date.accessioned	2011-05-03T09:01:11Z
dc.date.available	2011-05-03T09:01:11Z
dc.date.issued	2004
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6157
dc.language.iso	en	en
dc.subject	arithmetics	en
dc.subject	symmetric function	en
dc.subject	trace	en
dc.subject	de Sitter world	en
dc.subject	Fermat's little theorem	en
dc.subject	Lobachevsky geometry	en
dc.subject	Kepler cube	en
dc.subject	Riemann surface	en
dc.subject.ddc	515	en
dc.title	Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	Congruences generalizing Fermat's little theorem are proved for the traces of powers of integer matrices. Their relations to Lobachevsky geometries over finite fields and combinatorics of the matrix squaring operation as well as to the corresponding Riemann surfaces with their Kepler cubes are discussed.	en
dc.relation.isversionofjnlname	Functional Analysis and its Applications
dc.relation.isversionofjnlvol	38	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	2004
dc.relation.isversionofjnlpages	1-13	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1023/B:FAIA.0000024863.06462.68	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Analyse	en

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