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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
Full-text PDF (145 kB) Citations (3)
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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 Q[√5]. 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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\paper Diophantine equations related to quasicrystals: A~note
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\jour Theoret. and Math. Phys.
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Linking options:
  • https://www.mathnet.ru/eng/tmf887
  • https://doi.org/10.4213/tmf887
  • https://www.mathnet.ru/eng/tmf/v115/i3/p477
    • This publication is cited in the following 3 articles:
    1. Krivoruchenko M.I., “Recurrence Relations for the Number of Solutions of a Class of Diophantine Equations”, Rom. J. Phys., 58:9-10 (2013), 1408–1417  isi
    2. Masakova, Z, “Classification of Voronoi and Delone tiles of quasicrystals: III. Decagonal acceptance window of any size”, Journal of Physics A-Mathematical and General, 38:9 (2005), 1947  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    3. Masakova, Z, “Classification of Voronoi and Delone tiles of quasicrystals: II. Circular acceptance window of arbitrary size”, Journal of Physics A-Mathematical and General, 36:7 (2003), 1895  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:66
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