Lilu Zhao

activity

20082026

most citedSums of four squares of primes

6 citations · 19 across the 20 of their papers we have counts for

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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…