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DDT Theorem over square-free numbers in short interval

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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… Click to show full abstract

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.

Keywords: free numbers; numbers short; square free; ddt theorem; short interval

Journal Title: Frontiers of Mathematics in China
Year Published: 2017

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