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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 477–480
DOI: https://doi.org/10.4213/tmf887 (Mi tmf887) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Diophantine equations related to quasicrystals: A note

E. Pelantova, A. M. Perelomovab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b University of Zaragoza
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DOI: https://doi.org/10.4213/tmf887
Abstract: We give the general solution of three Diophantine equations in the ring of integers of the algebraic number field $\mathbf{Q}\bigl[\sqrt{5}\,\bigr]$. These equations are related to the problem of determining the minimum distance in quasicrystals with fivefold symmetry.
Received: 06.11.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 737–739
DOI: https://doi.org/10.1007/BF02575496
Bibliographic databases:
Language: Russian
Citation: E. Pelantova, A. M. Perelomov, “Diophantine equations related to quasicrystals: A note”, TMF, 115:3 (1998), 477–480; Theoret. and Math. Phys., 115:3 (1998), 737–739
Citation in format AMSBIB
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\by E.~Pelantova, A.~M.~Perelomov
\paper Diophantine equations related to quasicrystals: A~note
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\pages 477--480
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\zmath{https://zbmath.org/?q=an:1013.11013}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 737--739
\crossref{https://doi.org/10.1007/BF02575496}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075883900011}
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  • https://www.mathnet.ru/eng/tmf/v115/i3/p477
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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