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Complex Pisot numbers of small modulus

✍ Scribed by David Garth

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
84 KB
Volume
336
Category
Article
ISSN
1631-073X

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πŸ“œ SIMILAR VOLUMES

An Approximation Property of Pisot Numbe
An Approximation Property of Pisot Numbers
✍ Vilmos Komornik; Paola Loreti; Marco Pedicini πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 172 KB

Let q>1. Initiated by P. Erdo s et al. in [4], several authors studied the numbers l m (q)=inf [ y: y # 4 m , y{0], m=1, 2, ..., where 4 m denotes the set of all finite sums of the form y== 0 += 1 q+= 2 q 2 + } } } += n q n with integer coefficients &m = i m. It is known ([1], [4], [6]) that q is a

A classification of (some) Pisot-Cycloto
A classification of (some) Pisot-Cyclotomic numbers
✍ J.P. Bell; K.G. Hare πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 166 KB

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.

The structure of the spectra of Pisot nu
The structure of the spectra of Pisot numbers
✍ Kevin G. Hare πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 252 KB

For qAΓ°1; 2Þ; ErdoΒ¨s, JooΒ΄and Komornik studied the set: One item of interest that they examined is gap sizes of the form y kΓΎ1 Γ€ y k : In particular, they were interested in l m Γ°qÞ :ΒΌ lim infΓ°y kΓΎ1 Γ€ y k Þ and L m Γ°qÞ :ΒΌ lim supΓ°y kΓΎ1 Γ€ y k Þ: This paper studies the distribution of the gap sizes