10 citations · 15 across the 10 of their papers we have counts for
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math.NT2017★ 10 cited
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…
math.NT2017★ 1 cited
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…
math.NT2017★ 1 cited
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…