Weilin Zhang

collaborators

3 papers

math.NT2026

A Multiplicative Fourier Proof of the Length-Four Index Conjecture

Hongjian Li, Pingzhi Yuan, Shijie Yuan +1

Let $C_{n}$ be a cyclic group of order $n$ . The index conjecture in zero-sum theory asserts that if $(n, 6) = 1$ , then every minimal zero-sum sequence of length four over $C_{n}$ has inde…

math.NT2025

On the Elementary Symmetric Functions of ${1, 1/2, \dots, 1/ n} \ {1/ i}$

Weilin Zhang, Hongjian Li, Sunben Chiu +1

In 1946, P. ErdÅs and I. Niven proved that there are only finitely many positive integers $n$ for which one or more of the elementary symmetric functions of $1, 1/2$ , $\cdots, 1…

math.NT2025

On the representation of rational numbers via Euler's totient function

Weilin Zhang, Fengyuan Chen, Hongjian Li +1

Let $b > 1$ be an odd positive integer and $k, l \in N$ . In this paper, we show that every positive rational number can be written as $I ¨ (m^{2}) / (I ¨ (n^{2}))^{b}$ and $Ï(k(m…

A Multiplicative Fourier Proof of the Length-Four Index Conjecture

On the Elementary Symmetric Functions of {1,1/2,…,1/n}\{1/i}

On the representation of rational numbers via Euler's totient function

On the Elementary Symmetric Functions of ${1, 1/2, \dots, 1/ n} \ {1/ i}$