12 citations · 65 across the 36 of their papers we have counts for
Showing 2014 · math.NTShow all
3 papers · 2 filters
math.NT2014
Comments on the height reducing property II
Shigeki Akiyama, Jörg M. Thuswaldner, Toufik Zaïmi
A complex number is said to satisfy the height reducing property if there is a finite set such that , where is the ring o…
math.NT2014★ 6 cited
Characterization of the numbers which satisfy the height reducing property
Shigeki Akiyama, Jörg M. Thuswaldner, Toufik Zaïmi
Let be a complex number. We show that there is a finite subset of the ring of the rational integers , such that , i…
math.NT2014★ 3 cited
A family of non-sofic beta expansions
Shigeki Akiyama
Let β_n>1 be a root of x^n-x-1 for n=4,5,... We will prove that β_n is not a Parry number, i.e., the associated beta transformation does not correspond a sofic symbolic system. A g…