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Asymptotic Formulae Concerning Arithmetical Functions Defined by Cross-Convolutions, III. On the Function τ k

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Abstract

We define a generalization of the divisor function τkin terms of regular convolutions of Narkiewicz and we establish an asymptotic formula for its summatory function in case of cross-convolutions investigated in the first two parts of the present paper.

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Authors
  1. László Tóth
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Tóth, L. Asymptotic Formulae Concerning Arithmetical Functions Defined by Cross-Convolutions, III. On the Function τ k . Periodica Mathematica Hungarica 35, 127–138 (1997). https://doi.org/10.1023/A:1004357011624

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