Detchat Samart

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math.NT2026

Arithmetic exceptionality of LattÃ¨s maps

Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa

Let $F_{q}$ denote a finite field of order $q$ . A rational function $r (x) \in Q (x)$ is said to be arithmetically exceptional if it induces a permutation on $\mathbb{…

math.NT2025

Determinants of Mahler measures and special values of $L$ -functions

Detchat Samart, Zhengyu Tao

We consider Mahler measures of two well-studied families of bivariate polynomials, namely $P_{t} = x + x^{- 1} + y + y^{- 1} + t$ and $Q_{t} = x^{3} + y^{3} + 1 - 3 t x y$ , where $t$ is a complex…

Arithmetic exceptionality of LattÃ¨s maps

Determinants of Mahler measures and special values of L-functions

Determinants of Mahler measures and special values of $L$ -functions