DDT Theorem over square-free numbers in short interval

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

References

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