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Sums of Multiplicative Function in Special Arithmetic Progressions

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Abstract

We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Yangtze Normal University, No. 16, Ju Xian Avenue, Fuling District, 408100, Chongqing, PR China

    Bin Feng

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  1. Bin Feng
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Correspondence to Bin Feng.

Additional information

This work was supported by NSF of Chongqing (cstc2018jcyjAX0540) and Scientific and Technological Research Program of Chongqing Municipal Education Commission (No. KJ1601213) and Scientific Research Innovation Team Project Affiliated to Yangtze Normal University (No. 2016XJTD01).

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Feng, B. Sums of Multiplicative Function in Special Arithmetic Progressions. Czech Math J 69, 1–10 (2019). https://doi.org/10.21136/CMJ.2019.0079-16

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  • DOI: https://doi.org/10.21136/CMJ.2019.0079-16

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