10 citations · 15 across the 10 of their papers we have counts for
5 papers · 1 filter
Arithmetical independence of certain uniform sets of algebraic integers
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We study four (families of) sets of algebraic integers of degree less than or equal to three. Apart from being simply defined, we show that they share two distinctive characteristi…
Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers
Asaki Saito, Akihiro Yamaguchi
We develop a method for generating pseudorandom binary sequences using the Bernoulli map on cubic algebraic integers. The distinguishing characteristic of our generator is that it…
Multidimensional -adic continued fraction algorithms
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We give a new class of multidimensional -adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that multidimensional -adic version…
Continued fraction algorithms and Lagrange's theorem in
Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi
We present several continued fraction algorithms, each of which gives an eventually periodic expansion for every quadratic element of over and gives a…
A new multidimensional slow continued fraction algorithm and stepped surface
Maki Furukado, Shunji Ito, Asaki Saito +2
We give a new algorithm of slow continued fraction expansion related to any real cubic number field as a 2-dimensional version of the Farey map. Using our algorithm, we can find th…