68 citations
- Centre of Excellence in MathematicsTH3 papers
- Instituto Nacional de Matemática Pura e AplicadaBR3 papers
- Suranaree University of TechnologyTH3 papers
- Université de MontréalCA3 papers
- University of MississippiUS3 papers
- Bohai UniversityCN2 papers
- Centre de recherches mathématiquesCA2 papers
- Concordia UniversityCA2 papers
- Liberty UniversityUS2 papers
- University of ViennaAT2 papers
- Chulalongkorn UniversityTH1 paper
- Delft University of TechnologyNL1 paper
19 papers
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…
Pentaquark components in low-lying baryon resonances
Kai Xu, Attaphon Kaewsnod, Zheng Zhao +4
We study pentaquark states of both light and hidden heavy (q = u,d,s quark in SU(3) flavor symmetry; Q = c, b quark) systems with a general group theory a…
Complete basis for the pentaquark wave function in a group theory approach
Kai Xu, Attaphon Kaewsnod, Xuyang Liu +3
Permutation groups are applied to analyze the symmetries of pentaquark states. All possible quark configurations of the color, flavor, spin and spatial degrees of freedom are worke…
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…