36 citations · 38 across the 8 of their papers we have counts for
8 papers
Two Legendre-symbol determinants of Sun and Bernoulli numbers
Hang Liu
Let be an odd prime, put , and let be the Legendre symbol. Define to be the following determinants \[ \begin{aligned} D_…
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…
Asymptotic Property C for Certain Wreath-like Products of Groups
Han Liu
In this paper, we present generalizations of some results on the asymptotic property C for wreath products. Specifically, we prove that certain wreath-like products admit asymptoti…
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…
Typical dynamics of plane rational maps with equal degrees
Jeffrey Diller, Han Liu, Roland Roeder
Let be a rational map with algebraic and topological degrees both equal to . Little is known in general about the ergodic pro…
On K_2 of certain families of curves
Hang Liu, Rob de Jeu
We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those e…