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Some Arithmetic Functions and Chebotarev Densities

作者:   時間:2020-01-02   點擊數:

題目:Some Arithmetic Functions and Chebotarev Densities

報告人:王標 博士(紐約州立大學)

時間:2020169:30-10:30

地點:知新樓B1044報告廳

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.

邀請人:徐澤

 

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