36 citations · 36 across the 4 of their papers we have counts for
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Paratrophic Determinants over via Discrete Fourier Transform
Hang Liu
In this note, we investigate the paratrophic determinants attached to the multiplicative semigroup . We show that, via discrete Fourier, cosine, and sine tr…
of families of elliptic curves over non-Abelian cubic and quartic fields
François Brunault, Rob de Jeu, Hang Liu +1
We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the cur…
A shifted Mahler measure identity for Boyd's family
Quanli Yang, Hang Liu, Guoping Tang
Recently the second author and Qin numerically verified some Mahler measure identities of genus 2 and 3 polynomial families. In this paper, we use the elliptic regulator to prove a…
Mahler measure of polynomials defining genus 2 and 3 curves
Hang Liu, Hourong Qin
In this article, we study the Mahler measures of more than 500 families of reciprocal polynomials defining genus 2 and genus 3 curves. We numerically find relations between the Mah…