Yu-Chen Sun

activity

20172019

collaborators

4 papers

math.CO2019

A $q$ -analogue of Wilson's congruence

Hao Pan, Yu-Chen Sun

Let $C_{n}$ be the set of all permutation cycles of length $n$ over ${1, 2, \dots, n}$ . Let $f_{n} (q) := σ \in C_{n + 1} \sum q^{m aj σ}$ be a…

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…

math.NT2017

The Green-Tao theorem for primes of the form $x^{2} + y^{2} + 1$

Yu-Chen Sun, Hao Pan

We prove that the primes of the form $x^{2} + y^{2} + 1$ contain arbitrarily long non-trivial arithmetic progressions.

A q-analogue of Wilson's congruence

A note on the sum of reciprocals

On the gaps between consecutive primes

The Green-Tao theorem for primes of the form x2+y2+1

A $q$ -analogue of Wilson's congruence

The Green-Tao theorem for primes of the form $x^{2} + y^{2} + 1$