太阳成集团学术活动信息:孙智宏教授学术报告2014.05.11

发布时间:2014-05-09   浏览次数:482

报 告 人: 孙智宏  教授

          淮阴师范学院

报告题目:Fibonacci numbers and combinatorial sum $\sum\limits_{m\mid
k-r}\binom nk$}

报告时间:2014511(周日)上午10:00

报告地点:静远楼1508会议室

 

 

报告摘要:Based on a series of papers published by Zhi-Hong Sun and Zhi-Wei Sun, in this talk we present formulas for the sum $\sum_{m\mid k-r}\binom nk$ in the cases $m=3,4,6,8,9,10,12$ and give congruences and conjectures for $F_{(p\pm 1)/s}\pmod p$, where $p>5$ is a prime, $s\in\{2,3,4,6,8\}$ and $\{F_n\}$ is the Fibonacci sequence.