走向现代数学学术报告 - 洪豪杰博士（No. 691）

报告题目: Big prime factors of linear recurrent sequences

报告人：洪豪杰 博士（法国波尔多大学）

报告时间：2024年4月3日 16:00

腾讯会议ID：855-913-468

报告摘要: Lucas sequences U_n are the second-order simple non-degenerated linear recurrent sequences with the first two terms being U₀=0 and U₁=1. The Fibonacci sequence is a typical example. The divisibility properties of such sequences have been studied by Euler, Lagrange, Gauss, Dirichlet and others. Let P_n be the largest prime factor of U_n. In 2013, Stewart proved that P_n grows faster than n. In this talk, I will present Stewart's theorem and some results we have obtained.

报告人简介：洪豪杰，法国波尔多大学在读博士生，研究方向为数论。目前主要从事线性递推序列、丢番图方程方面的研究，在Acta Arithmetica、Publicationes Mathematicae Debrecen等期刊上发表论文三篇。