This article is cited in 3 papers

Diophantine equations related to quasicrystals: A note

E. Pelantova, A. M. Perelomov<sup>ab

a</sup> 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

DOI: 10.4213/tmf887

 English version: Theoretical and Mathematical Physics, 1998, 115:3, 737–739

Bibliographic databases:

• 
• 
•