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报告题目: New Finite Rogers-Ramanujan Identities and
Factors of Alternating Sums of Products of Binomial
and q-Binomial Coefficients
报告人: 郭军伟 副教授;
单位: 华东师范大学数学系;
报告地点: 理科大楼A1510
时间: 9月27号（周三）下午2:30-3:30

报告内容: Applying the q-Dixon and q-Pfaff-Saalschutz identities, we generalize two finite forms of the Rogers-Ramanujan identities due to Andrews. We will also prove that
$$
sum_{k=-n}^n (-1)^k prod_{i=1}^m {n_i+n_{i+1}choose n_i+k},
$$
where $n_{m+1}=n_1$, is divisible by ${n_j+n_{j+1}choose n_j}$ for $1leq jleq m$. This generalizes a result due to Calkin.


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