报告题目（中英文） (Title)：Carlitz公式的q-移位算子表示（Representing Carlitz Formula with q-Shift Operator）
报告人 (Speaker)：杨墩坤
报告时间 (Time)：2023年8月31日（周四） 10:00
报告地点(Place):宝山校区F309
邀请人(Inviter)：陈旦旦
报告摘要：We present a new formula for the $q$-shift operator, building on the techniques by Liu and Sears. This formula provides fresh proof of the Carlitz formula and extends it naturally. As applications, we derive an equivalent form of the generalized Carlitz formula to prove two q-congruences on cyclotomic polynomials, which expand upon the results of Guo et al.