Detchat Samart

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20192026

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math.NT2026

Arithmetic exceptionality of Lattès 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.NT2024

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…

math.NT2019

On a non-critical symmetric square $L$ -value of the congruent number elliptic curves

Detchat Samart

The congruent number elliptic curves are defined by $E_{d} : y^{2} = x^{3} - d^{2} x$ , where $d \in N .$ We give a simple proof of a formula for $L (Sym^{2} (E_{d}), 3)$ in terms of the…

Arithmetic exceptionality of Lattès maps

Determinants of Mahler measures and special values of L-functions

On a non-critical symmetric square L-value of the congruent number elliptic curves

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

On a non-critical symmetric square $L$ -value of the congruent number elliptic curves