DDT Theorem over square-free numbers in short interval

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• 作者：Bin Feng ; Zhen Cui
• 关键词：Selberg ; Delang method ; arcsine law ; square ; free number
• 刊名：Frontiers of Mathematics in China
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：12
• 期：2
• 页码：367-375
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Higher Education Press
• ISSN：1673-3576
• 卷排序：12

文摘

We study the Ces`aro 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.