Cao, Xiaodong; Zhai, Wenguang

Some arithmetic functions involving exponential divisors

J. Integer Seq. 13(3), Article ID 10.3.7, 13 p., electronic only (2010)

Summary

Summary: In this paper we study several arithmetic functions connected with the exponential divisors of integers. We establish some asymptotic formulas under the Riemann hypothesis, which improve previous results. We also prove some asymptotic lower bounds.

Mathematics Subject Classification

11N37

Keywords/Phrases

exponential divisor, error term, asymptotic lower bound

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