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A class of discrete spectra of non-Pisot numbers

Dragan Stankov

Abstrak

We investigate the class of ?1 polynomials evaluated at q defined as: A(q) = { ?0 + ?1q + ? ? ? + ?mqm : ?i ? {-1, 1}} and usually called spectrum, and show that, if q is the root of the polynomial xn - xn-1 - ? ? ? - xk+1 + xk + xk-1 + ? ? ? + x + 1 between 1 and 2, and n > 2k + 3, then A(q) is discrete, which means that it does not have any accumulation points.

Penulis (1)

Dragan Stankov

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Stankov, D. (2008). A class of discrete spectra of non-Pisot numbers. https://doi.org/10.2298/pim0897009s

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Informasi Jurnal

Tahun Terbit: 2008
Bahasa: en
Sumber Database: CrossRef
DOI: 10.2298/pim0897009s
Akses: Terbatas