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math.NT2023
A dynamical system proof of Niven's theorem and its extensions
Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa
Niven's theorem asserts that In this paper, we use elementary techniques and results from arithmetic dynamic…
math.NT2023★ 2 cited
Mahler measure of a non-reciprocal family of elliptic curves
Detchat Samart
In this article, we study the logarithmic Mahler measure of the one-parameter family \[Q_α=y^2+(x^2-αx)y+x,\] denoted by . The zero loci of generically define ellipti…