On the distribution modulo 1 of the sum of powers of a Salem number

Објеката

Тип
Рад у часопису
Верзија рада
објављена верзија
Језик
енглески
Креатор
Dragan Stankov
Извор
Comptes rendus Mathematique
Датум издавања
2016
Сажетак
It is well known that the sequence of powers of a Salem number θ, modulo 1, is dense in the unit interval, but is not uniformly distributed. Generalizing a result of Dupain, we determine, explicitly, the repartition function of the sequence , where P is a polynomial with integer coefficients and θ is quartic. Also, we consider some examples to illustrate the method of determination.
том
354
издање
6, June
почетак странице
569
крај странице
576
doi
10.1016/j.crma.2016.03.012
issn
1631-073X
Subject
Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomials
Шира категорија рада
M20
Ужа категорија рада
М23
Права
Одложени приступ
Лиценца
All rights reserved
Формат
.pdf
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Драган Станков
Radovi istraživača

Dragan Stankov. "On the distribution modulo 1 of the sum of powers of a Salem number" in Comptes rendus Mathematique (2016). https://doi.org/10.1016/j.crma.2016.03.012

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