Detchat Samart

activity

20192026

collaborators

4 papers

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{…

cs.LG2026

QEDBENCH: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs

Santiago Gonzalez, Alireza Amiri Bavandpour, Peter Ye +48

As Large Language Models (LLMs) saturate elementary benchmarks, the research frontier has shifted from generation to the reliability of automated evaluation. We demonstrate that st…

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

QEDBENCH: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs

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