Big Prime Factors of Linear Recurrent Sequences

：洪豪杰（法国波尔多大学）
：2024-11-01 10:00
：海韵园实验楼106报告厅

报告人：洪豪杰（法国波尔多大学）

时  间：2024年11月1日10:00

地  点：海韵园实验楼106报告厅

内容摘要:

Lucas sequences $U_n$ are the second-order simple non-degenerated linear recurrent sequences with the first two terms being $U_0=0$ and $U_1=1$. A typical example is the Fibonacci sequence. The divisibility properties of such sequences have been studied a lot. 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 related results we have obtained.

个人简介：

洪豪杰，法国波尔多大学博士，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 Arith.》、《Publ. Math. Debrecen》等期刊上发表论文数篇。

 

联系人：祝辉林