Q. Yin

collaborators

3 papers

math.NT2022

On Igusa local zeta functions of Hauser hybrid polynomials

Shaofang Hong, Qiuyu Yin

Let $K$ be a local field and $f (x) \in K [x]$ be a non-constant polynomial. When $char K = 0$ , Igusa showed the local zeta function is a rational function. However, when ${\rm cha…

math.NT2018

A generalization of a theorem of Nagell

Yulu Feng, Shaofang Hong, Xiao Jiang +1

Let $n$ be a positive integer. In 1915, Theisinger proved that if $n \geq 2$ , then the $n$ -th harmonic sum $\sum_{k = 1}^{n} \frac{1}{k}$ is not an integer. Let $a$ and $b$ be positive in…

math.NT2018

The Igusa local zeta functions of superelliptic curves

Qiuyu Yin, Shaofang Hong

Let $K$ be a local field and $f (x) \in K [x]$ be a non-constant polynomial. The local zeta function $Z_{f} (s, χ)$ was first introduced by Weil, then studied in detail by Igusa. When ${…