68 citations
- Centre of Excellence in MathematicsTH3 papers
- Instituto Nacional de Matemática Pura e AplicadaBR3 papers
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12 papers · 1 filter
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…
The sixth moment of automorphic -functions
Vorrapan Chandee, Xiannan Li
In this paper, we consider the -functions where is an eigenform for the congruence subgroup . We prove an asymptotic formula for the sixth moment of this f…
A note on the zeros of zeta and -functions
Emanuel Carneiro, Vorrapan Chandee, Micah B. Milinovich
Let denote the argument of the Riemann zeta-function at the point . Assuming the Riemann hypothesis, we give a new and simple proof of the sharpest known bou…