Yuchen Ding

activity

20182024

most citedOn a conjecture on shifted primes with large prime factors, II

1 citations · 1 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

A new upper bound on Ruzsa's number on the Erd\H os-Turán conjecture

Yuchen Ding, Lilu Zhao

In this note, we show that the Ruzsa number $R_{m}$ is bounded by $192$ for any positive integer $m$ , which improved the prior bound $R_{m} \leq 288$ given by Y.--G. Chen in 2008.

math.NT2023

Solution to a problem of Luca, Menares and Pizarro-Madariaga

Yuchen Ding, Lilu Zhao

Let $k \geq 2$ be a positive integer and $P^{+} (n)$ the greatest prime factor of a positive integer $n$ with convention $P^{+} (1) = 1$ . For any $θ\in \left[\frac 1{2k},\frac{17}{32k}\right…

math.NT2023

Correct order on some certain weighted representation functions

Shi--Qiang Chen, Yuchen Ding, Xiaodong Lü +1

Let $N$ be the set of all nonnegative integers. For any positive integer $k$ and any subset $A$ of nonnegative integers, let $r_{1, k} (A, n)$ be the number of solutions $(a_…