Liangpan Li

activity

19942009

most citedFourier analysis and expanding phenomena in finite fields

6 citations · 12 across the 7 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.PR2009

On the Borel-Cantelli Lemma and its Generalization

Chunrong Feng, Liangpan Li, Jian Shen

Let ${A_{n}}_{n = 1}^{\infty}$ be a sequence of events on a probability space $(Ω, F, P)$ . We show that if $lim_{m \to \infty} \sum_{n = 1}^{m} w_{n} P (A_{n}) = \infty$ …

math.NT2009★ 6 cited

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…

math.NT2009★ 1 cited

Slightly improved sum-product estimates in fields of prime order

Liangpan Li

Let $F_{p}$ be the field of residue classes modulo a prime number $p$ and let $A$ be a nonempty subset of $F_{p}$ . In this paper we show that if $∣ A ∣ ⪯ p^{0.5}$ ,…