DDT Theorem over square-free numbers in short interval

doi:10.1007/s11464-016-0547-6

Front. Math. China

2017, Vol. 12

Issue (2) : 367-375 https://doi.org/10.1007/s11464-016-0547-6

RESEARCH ARTICLE

DDT Theorem over square-free numbers in short interval

Bin FENG^1,²(

),Zhen CUI¹

¹. School of Mathematics Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
². College of Mathematics and Statistics, Yangtze Normal University, Fuling 408100, China

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Abstract

We study the Cesàro means related to the divisor function. We show that the DDT Theorem holds over square-free numbers in short interval, which generalizes some results established by Deshouillers-Dress-Tenenbaum and by Cui-Wu.

Keywords Selberg-Delang method arcsine law square-free number

Corresponding Author(s): Bin FENG

Issue Date: 27 December 2016

Cite this article:

Bin FENG,Zhen CUI. DDT Theorem over square-free numbers in short interval[J]. Front. Math. China, 2017, 12(2): 367-375.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0547-6
https://academic.hep.com.cn/fmc/EN/Y2017/V12/I2/367

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