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math.NT2020★ 2 cited
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…
math.NT2019★ 4 cited
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…
math.NT2019★ 1 cited
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…