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Diophantine equations related to quasicrystals: a note

Mathematical Physics 2015-06-26 v1 math.MP

Abstract

We give the general solution of three Diophantine equations in the ring of integer of the algebraic number field Q[\sqr5]{\bf Q}[{\sqr 5}]. These equations are related to the problem of determination of the minimum distance in quasicrystals with fivefold symmetry.

Cite

@article{arxiv.math-ph/0112016,
  title  = {Diophantine equations related to quasicrystals: a note},
  author = {E. Pelantová and A. M. Perelomov},
  journal= {arXiv preprint arXiv:math-ph/0112016},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-07-22T16:20:56.082Z