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Some Arithmetic Functions and Chebotarev Densities

威尼斯官网:   时间:2020-01-02   点击数:

题目:Some Arithmetic Functions and Chebotarev Densities

报告人:王标 博士(纽约州立大学)

时间:2020169:30-10:30

地点:知新楼B1044报告厅

摘要:

For the Möbius function , it is well-known that the prime number theorem is equivalent to . In 1977, Alladi showed a formula on a restricted sum of . In 2017, Dawsey generalized Alladi's result to the setting of Chebotarev densities for finite Galois extensions of Q. In this talk, we will introduce the analogues of their formulas with respect to the Liouville function and the Ramanujan sum, which are closely related to the Möbius function. All are welcome.

邀请人:徐泽

 

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