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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…