汇报标题 (Title)：Carlitz公式的q-移位算子暗示（Representing Carlitz Formula with q-Shift Operator）
汇报人(Speaker)：杨墩坤（华东师范大学）
汇报功夫 (Time)：2023年8月31日（周四）10:00
汇报地址(Place):校本部F309
约请人(Inviter)：陈旦旦
主办部门：理学院数学系
汇报提要：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.
