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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf887https://doi.org/10.4213/tmf887 https://www.mathnet.ru/eng/tmf/v115/i3/p477
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Abstract page: | 313 | Full-text PDF : | 202 | References: | 47 | First page: | 1 |
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