20 citations · 85 across the 30 of their papers we have counts for
8 papers · 1 filter
Defining arithmetical operations on infinite decimals
Nicolas Fardin, Liangpan Li
Completing Loo-Keng Hua's approach to the real number system pioneered in 1962, this paper defines arithmetical operations directly on infinite decimals without appealing to any or…
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 if and only if $\sum_nλ({…
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.
A note on the Duffin-Schaeffer conjecture
Liangpan Li
Given a sequence of real numbers with , let denote the set of for which for infinitely many coprime pairs…
Zero-one laws in simultaneous and multiplicative Diophantine approximation
Liangpan Li
Answering two questions of Beresnevich and Velani, we develop zero-one laws in both simultaneous and multiplicative Diophantine approximation. Our proofs rely on a Cassels-Gallaghe…
Fourier analysis and expanding phenomena in finite fields
Derrick Hart, Liangpan Li, Chun-Yen Shen
In this paper the authors study set expansion in finite fields. Fourier analytic proofs are given for several results recently obtained by Solymosi, Vinh and Vu using spectral grap…