H. Qin

activity

20042021

most citedMahler measure of polynomials defining genus 2 and 3 curves

36 citations · 38 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2021

The Lang-Trotter Conjecture for the elliptic curve $y^{2} = x^{3} + D x$

Hourong Qin

Let $E$ be an elliptic curve over $Q .$ Let $a_{p}$ denote the trace of the Frobenius endomorphism at a rational prime $p$ . For a fixed integer $r,$ define the prime-counting…

math.NT2019★ 36 cited

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…

math.NT2015

Non-vanishing Fourier coefficients of modular forms

Peng Tian, Hourong Qin

In this paper, we generalize D. H. Lehmer's result to give a sufficient condition for level one cusp forms $f$ with integral Fourier coefficients such that the smallest $n$ for whi…

math.NT2013

Lehmer's totient problem over $F_{q} [x]$

Qingzhong Ji, Hourong Qin

In this paper, we consider the function field analogue of the Lehmer's totient problem. Let $p (x) \in F_{q} [x]$ and $φ (q, p (x))$ be the Euler's totient function of $p (x)$ over…

math.NT2011

Higher $K$ -Groups of Smooth Projective Curves Over Finite Fields

Qingzhong Ji, Hourong Qin

Let $X$ be a smooth projective curve over a finite field $F$ with $q$ elements. For $m \geq 1,$ let $X_{m}$ be the curve $X$ over the finite field $F_{m}$ , the $m$ -th…

math.GR2010★ 1 cited

The structure of decomposable lattices determined by their prime ideals

Xinmin Lu, Dongsheng Liu, Zhinan Qi +1

A distributive lattice $L$ with minimum element $0$ is called decomposable if $a$ and $b$ are not comparable elements in $L$ then there exist $a, b \in L$ such…

math.CO2010★ 1 cited

Prime ideals in decomposable lattices

Xinmin Lu, Dongsheng Liu, Zhinan Qi +1

A distributive lattice $L$ with minimum element $0$ is called decomposable lattice if $a$ and $b$ are not comparable elements in $L$ there exist $a, b \in L$ su…

math.RA2004

Homological behavior of Auslander's $k$ -Gorenstein rings

Zhaoyong Huang, Hourong Qin

In this paper we mainly study the homological properties of dual modules over $k$ -Gorenstein rings. For a right quasi $k$ -Gorenstein ring $Λ$ , we show that the right self-injective…

The Lang-Trotter Conjecture for the elliptic curve y2=x3+Dx