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A classification of (some) Pisot-Cyclotomic numbers
Authors:J.P. Bell  K.G. Hare
Affiliation:a Mathematics Department, University of Michigan, East Hall, 525 East University, Ann Arbor, MI 48109-1109, USA
b Department of Pure Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1
Abstract:
A complete classification of degree 2, 3 and degree 4 Pisot-Cyclotomic numbers is given. Some examples of higher degrees are also given. Pisot-Cyclotomic numbers have applications to quasicrystals and quasilattices.
Keywords:Pisot numbers   Quasilattices   Quasicrystals   Diophantine equation
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