8 citations · 16 across the 13 of their papers we have counts for
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math.NT2019
Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers
Shigeki Akiyama, Hajime Kaneko
Markoff-Lagrange spectrum uncovers exotic topological properties of Diophantine approximation. We investigate asymptotic properties of geometric progressions modulo one and observe…
math.DS2019★ 1 cited
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.NT2019★ 1 cited
The digit exchanges in the rotational beta expansions of algebraic numbers
Hajime Kaneko, Makoto Kawashima
In this article, we investigate the -expansions of real algebraic numbers. In particular, we give new lower bounds for the number of digit exchanges in the case where is a P…