Yu-Chen Sun

activity

20172026

most citedSolutions to some sign change problems on the functions involving sums of divisors

1 citations · 1 across the 10 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018

A note on the sum of reciprocals

Yuchen Ding, Yu-Chen Sun

For a fixed positive integer $m$ and any partition $m = m_{1} + m_{2} + \dots + m_{e}$ , there exists a sequence ${n_{i}}_{i = 1}^{k}$ of positive integers such that $$m=\frac{1}{n_{1}}…

math.NT2018

On the gaps between consecutive primes

Yu-Chen Sun, Hao Pan

Let $p_{n}$ denote the $n$ -th prime. For any $m \geq 1$ , there exist infinitely many $n$ such that $p_{n} - p_{n - m} \leq C_{m}$ for some large constant $C_{m} > 0$ , and $$p_{n+1}-p_n\geq \frac…