Jun-ichi Tamura

activity

20172025

most citedContinued fraction algorithms and Lagrange's theorem in

Q_{p}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

The Newton approximation, the Hurwitz continued fraction, and the Sierpinski series for relatively quadratic units over certain imaginary quadratic number fields

Asaki Saito, Jun-Ichi Tamura

The objective of this paper is to show (a)=(b)=(c) as rational functions of $T$ , $U$ for (a), (b), (c) given by (a) continued fractions of length $2^{n + 1} - 1$ with explicit partial…

math.NT2023

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…

math.NT2017★ 1 cited

Continued fraction algorithms and Lagrange's theorem in $Q_{p}$

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 $Q_{p}$ over $Q$ and gives a…

The Newton approximation, the Hurwitz continued fraction, and the Sierpinski series for relatively quadratic units over certain imaginary quadratic number fields

Arithmetical independence of certain uniform sets of algebraic integers

Continued fraction algorithms and Lagrange's theorem in Qp​

Continued fraction algorithms and Lagrange's theorem in $Q_{p}$