报告题目：On certain properties of harmonic numbers

主 讲 人：吴冰灵  南京邮电大学讲师

时 间：3月23日9:00

地  点：腾讯会议：818131516

主办单位：数学与统计学院

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报告摘要：Let Hn be the reciprocal sum of 1, 2, · · · , n and let vn be its denominator. It is well known that Hn is not an integer for every integer n ≥ 2. Let L be the set of all positive integers n such that the denominator of 1 + 1/2 + · · · + 1/n is less than the least common multiple of 1, 2, . . . , n. In this talk, we prove that the set L has the upper asymptotic density 1 under a certain assumption on linear independence, and the assumption follows from Schanuel’s conjecture. We also get some properties of generalized harmonic numbers. This is a joint work with professor Yong-Gao Chen and Dr Xiao-Hui Yan.

专家简介：吴冰灵，南京邮电大学讲师，毕业于南京师范大学，师从陈永高教授，主要从事解析数论与组合数论方向的研究。