Q. Yin

activity

20162022

most citedIgusa local zeta functions of a class of hybrid polynomials

1 citations · 2 across the 5 of their papers we have counts for

collaborators

5 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 ${…

math.NT2017★ 1 cited

Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers

Shaofang Hong, Liping Yang, Qiuyu Yin +1

Let $n$ and $k$ be integers such that $1 \leq k \leq n$ and $f (x)$ be a nonzero polynomial of integer coefficients such that $f (m) \neq = 0$ for any positive integer $m$ . For any $k$ -tuple…

math.NT2016★ 1 cited

Igusa local zeta functions of a class of hybrid polynomials

Qiuyu Yin, Shaofang Hong

In this paper, we study the Igusa's local zeta functions of a class of hybrid polynomials with coefficients in a non-archimedean local field of positive characteristic. Such class…