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General divisor functions in arithmetic progressions to large moduli

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Abstract

We prove a result on the distribution of the general divisor functions in arithmetic progressions to smooth moduli which exceed the square root of the length.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Fei Wei & BoQing Xue

  2. Department of Mathematics, University of California at Santa Barbara, Santa Barbara, CA, 93106, USA

    YiTang Zhang

Authors
  1. Fei Wei
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  2. BoQing Xue
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  3. YiTang Zhang
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Correspondence to Fei Wei.

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Wei, F., Xue, B. & Zhang, Y. General divisor functions in arithmetic progressions to large moduli. Sci. China Math. 59, 1663–1668 (2016). https://doi.org/10.1007/s11425-016-0355-4

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  • DOI: https://doi.org/10.1007/s11425-016-0355-4

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