3 papers
math.DS2019
Generic point equivalence and Pisot numbers
Shigeki Akiyama, Hajime Kaneko, Dong Han Kim
Let be an integer or generally a Pisot number. Put on and let be a piecewise linear transformation whose slopes have the form $\…
math.NT2017
Arithmetical properties of real numbers related to beta-expansions
Hajime Kaneko
The main purpose of this paper is to study the arithmetical properties of values \(\sum_{m=0}^{\infty} β^{-w(m)}\), where \(β\) is a fixed Pisot or Salem number and \(w(m)\) (\(m=0…
math.NT2017
On subwords in the base- expansion of polynomial and exponential functions
Hajime Kaneko, Thomas Stoll
Let be any word over the alphabet , and denote by either a polynomial of degree or for a fixed . Furthermore, denote by…