Pell’s Equation

Pole DC	Wartość	Język
dc.contributor.author	Acewicz, Marcin	-
dc.contributor.author	Pąk, Karol	-
dc.date.accessioned	2018-02-08T08:13:52Z	-
dc.date.available	2018-02-08T08:13:52Z	-
dc.date.issued	2017	-
dc.identifier.citation	Formalized Mathematics, Volume 25, Issue 3, Pages 197–204	-
dc.identifier.issn	1426-2630	-
dc.identifier.uri	http://hdl.handle.net/11320/6294	-
dc.description.abstract	SummaryIn this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution.“Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.	-
dc.language.iso	en	-
dc.publisher	DeGruyter Open	-
dc.subject	Pell’s equation	-
dc.subject	Diophantine equation	-
dc.subject	Hilbert’s 10th problem	-
dc.title	Pell’s Equation	-
dc.type	Article	-
dc.identifier.doi	10.1515/forma-2017-0019	-
dc.description.Affiliation	Acewicz Marcin - Institute of Informatics, University of Białystok, Poland	-
dc.description.Affiliation	Pąk Karol - Institute of Informatics, University of Białystok, Poland	-
dc.description.references	Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.	-
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dc.identifier.eissn	1898-9934	-
dc.description.volume	25	-
dc.description.issue	3	-
dc.description.firstpage	197	-
dc.description.lastpage	204	-
dc.identifier.citation2	Formalized Mathematics	-
Występuje w kolekcji(ach):	Artykuły naukowe (WInf) Formalized Mathematics, 2017, Volume 25, Issue 3

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