We study the Cesaro 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 ...We study the Cesaro 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.展开更多
基金Acknowledgements The authors are indebted to the anonymous referees for valuable suggestions, which led to Lemma 2 in its present shape. The first author is especially grateful to his supervisor, Prof. Hongze Li, for his unending encouragement and his effort that provides the opportunities to communicate with foreign specialists. This work was supported in part by the National Natural Science Foundation of China （Grant No. 11271249） and the Specialized Research Fund for the Doctoral Program of Higher Education （Grant No. 20120073110059）.
文摘We study the Cesaro 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.
