10 citations · 37 across the 15 of their papers we have counts for
16 papers
Arithmetic exceptionality of Lattès maps
Chatchawan Panraksa, Detchat Samart, Songpon Sriwongsa
Let denote a finite field of order . A rational function is said to be arithmetically exceptional if it induces a permutation on $\mathbb{…
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…
Determinants of Mahler measures and special values of -functions
Detchat Samart, Zhengyu Tao
We consider Mahler measures of two well-studied families of bivariate polynomials, namely and , where is a complex…
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…
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…
A functional identity for Mahler measures of non-tempered polynomials
Detchat Samart
We establish a functional identity for Mahler measures of the two-parametric family . Our result extends an identity proven in a paper of Lalín, Zudi…
Mahler measures of a family of non-tempered polynomials and Boyd's conjectures
Yotsanan Meemark, Detchat Samart
We prove an identity relating Mahler measures of a certain family of non-tempered polynomials to those of tempered polynomials. Evaluations of Mahler measures of some polynomials i…
On a non-critical symmetric square -value of the congruent number elliptic curves
Detchat Samart
The congruent number elliptic curves are defined by , where We give a simple proof of a formula for in terms of the…
A polyharmonic Maass form of depth 3/2 for SL_2(Z)
Scott Ahlgren, Nickolas Andersen, Detchat Samart
Duke, Imamoglu, and Toth constructed a polyharmonic Maass form of level 4 whose Fourier coefficients encode real quadratic class numbers. A more general construction of such forms…
A note on cusp forms as -adic limits
Scott Ahlgren, Detchat Samart
Several authors have recently proved results which express cusp forms as -adic limits of weakly holomorphic modular forms under repeated application of Atkin's -operator. The…
Feynman integrals and critical modular -values
Detchat Samart
Broadhurst conjectured that the Feynman integral associated to the polynomial corresponding to in the one-parameter family i…
Further explorations of Boyd's conjectures and a conductor 21 elliptic curve
Matilde Lalín, Detchat Samart, Wadim Zudilin
We prove that the (logarithmic) Mahler measure of is equal to the -value attached to the elliptic curve of conductor 21. In…
The elliptic trilogarithm and Mahler measures of surfaces
Detchat Samart
The aim of this paper is to derive explicitly a connection between the Zagier elliptic trilogarithm and Mahler measures of a certain family of three-variable polynomials defining K…
The Mahler measure of a Calabi-Yau threefold and special L-values
Matthew A. Papanikolas, Mathew D. Rogers, Detchat Samart
The aim of this paper is to prove a Mahler measure formula of a four-variable Laurent polynomial whose zero locus defines a Calabi-Yau threefold. We show that its Mahler measure is…
Mahler measures as linear combinations of -values of multiple modular forms
Detchat Samart
We study the Mahler measures of certain families of Laurent polynomials in two and three variables. Each of the known Mahler measure formulas for these families involves -values…
Three-variable Mahler measures and special values of modular and Dirichlet -series
Detchat Samart
In this paper we prove that the Mahler measures of the Laurent polynomials , , and $x^4+y^4+z^4+1+k^{1/4}…