Liangpan Li

activity

19942021

most citedOn a theorem of Schoen and Shkredov on sumsets of convex sets

20 citations · 85 across the 30 of their papers we have counts for

collaborators

Showing 2013 · math.NTShow all

3 papers · 2 filters

math.NT2013★ 1 cited

The Duffin-Schaeffer type conjectures in various local fields

Liangpan Li

This paper discovers a new phenomenon about the Duffin-Schaeffer conjecture, which claims that $λ (\cap_{m = 1}^{\infty} \cup_{n = m}^{\infty} E_{n}) = 1$ if and only if $\sum_nλ({…

math.NT2013★ 1 cited

On the Mori-Szekely conjectures for the Borel-Cantelli lemma

Chunrong Feng, Liangpan Li

The purpose of this note is to show by constructing counterexamples that two conjectures of Móri and Székely for the Borel-Cantelli lemma are false.

math.NT2013★ 1 cited

A note on the Duffin-Schaeffer conjecture

Liangpan Li

Given a sequence of real numbers ${ψ (n)}_{n \in N}$ with $0 \leq ψ (n) < 1$ , let $W (ψ)$ denote the set of $x \in [0, 1]$ for which $∣ x n - m ∣ < ψ (n)$ for infinitely many coprime pairs…