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Preprints of the Keldysh Institute of Applied Mathematics, 2016, 001, 20 pp. (Mi ipmp2077)  
This article is cited in 3 scientific papers (total in 4 papers)

From Diophantine approximations to Diophantine equations

A. D. Bruno
Full-text PDF (614 kB) Citations (4)
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Abstract: We consider the global generalization of the continued fraction giving the best Diophantine approximations. The generalization allows to compute the fundamental units of the algebraic rings and to find all solutions of a certain class of Diophantine equations.
Keywords: generalization of continued fraction, Diophantine approximations, set of fundamental units, fundamental domain, Diophantine equation.
Document Type: Preprint
UDC: 517.36
Language: Russian
Citation: A. D. Bruno, “From Diophantine approximations to Diophantine equations”, Keldysh Institute preprints, 2016, 001, 20 pp.
Citation in format AMSBIB
\Bibitem{Bru16}
\by A.~D.~Bruno
\paper From Diophantine approximations to Diophantine equations
\jour Keldysh Institute preprints
\yr 2016
\papernumber 001
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2077}
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  • https://www.mathnet.ru/eng/ipmp2077
  • https://www.mathnet.ru/eng/ipmp/y2016/p1
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:48
     
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