Beta-expansions for infinite families of Pisot and Salem numbers

被引：6

作者：

Hare, Kevin G. ^{[1
]}

Tweedle, David ^{[1
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/j.jnt.2008.02.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper continues the study of beta-expansions of 1 where beta is a Pisot or Salem number. Special attention is given to regular Pisot numbers, and the Salem numbers that approach these Pisot numbers. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2756 / 2765

页数：10

共 50 条

[1] Beta-expansions for cubic Pisot numbers
Bassino, F
LATIN 2002: THEORETICAL INFORMATICS, 2002, 2286 : 141 - 152
[2] On purely periodic beta-expansions of Pisot numbers
Sano, Y
NAGOYA MATHEMATICAL JOURNAL, 2002, 166 : 183 - 207
[3] Beta-expansions of rational numbers in quadratic Pisot bases
Hejda, Tomas
Steiner, Wolfgang
ACTA ARITHMETICA, 2018, 183 (01) : 35 - 51
[4] On the beta-expansions of 1 and algebraic numbers for a Salem number beta
Kaneko, Hajime
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 1243 - 1262
[5] Purely periodic beta-expansions with Pisot or Salem unit series in Fq((x-1))
Ghorbel, R.
Zouari, S.
RESEARCH IN NUMBER THEORY, 2025, 11 (01)
[6] On beta expansions for Pisot numbers
Boyd, DW
MATHEMATICS OF COMPUTATION, 1996, 65 (214) : 841 - 860
[7] Beta Expansions for Regular Pisot Numbers
Panju, Maysum
JOURNAL OF INTEGER SEQUENCES, 2011, 14 (06)
[8] On numbers having finite beta-expansions
Zaimi, Toufik
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2009, 29 : 1659 - 1668
[9] Finite beta-expansions of natural numbers
F. Takamizo
Acta Mathematica Hungarica, 2024, 172 : 223 - 254
[10] Finite beta-expansions of natural numbers
Takamizo, F.
ACTA MATHEMATICA HUNGARICA, 2024, 172 (01) : 223 - 254

← 1 2 3 4 5 →