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:
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.