Some class of cubic Pisot numbers with finiteness property

Fumichika Takamizo; Masamichi Yoshida

doi:10.21099/tkbjm/20224601067

Abstract

Akiyama classified all cubic Pisot units with finite $\beta$ -expansions. In this paper, we show a generalization of Akiyama’s theorem by using some reduction theorem. Moreover we give another application of this reduction theorem.

Citation

Download Citation

Fumichika Takamizo. Masamichi Yoshida. "Some class of cubic Pisot numbers with finiteness property." Tsukuba J. Math. 46 (1) 67 - 119, July 2022. https://doi.org/10.21099/tkbjm/20224601067

Information

Received: 18 March 2021; Revised: 28 October 2021; Published: July 2022

First available in Project Euclid: 19 September 2022

MathSciNet: MR4489188

zbMATH: 1509.11071

Digital Object Identifier: 10.21099/tkbjm/20224601067

Subjects:

Primary: 11A63 , 11K16

Keywords: finiteness property , Pisot number , β-expansion

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS