报告题目:Shifted Bernoulli and Fubini numbers
报 告 人:小松尚夫 教授(武汉大学)
报告时间:2017年12月12日(星期二)下午16:00-17:00
邀 请 人:胡甦 副教授
报告地点:四号楼4318室
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数学学院
2017年12月08日
报告摘要:We introduce the shifted Bernoulli numbers as a different natural extension of the classical Bernoulli numbers, in particular, in terms of determinant expressions. These numbers include the reciprocal of factorial. On the other hand, Fubini numbers form an integer sequence in which the $n$th term counts the number of weak orderings of a set with $n$ elements. We also introduce the shifted Fubini numbers as one kind of their generalizations and show several similar properties. Though Bernoulli numbers and Fubini numbers do not seem to be so related each other, the shifted Bernoulli numbers and shifted Fubini numbers have several relations.