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Investigations in the Theory of q-Additive and q-Multiplicative Functions. I

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Abstract

The mean values of g 1(a 1 n)...g k(a k n) are investigated where g 1...g k are q-multiplicative functions the absolute values of which are 1. Some applications are given.

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References

  1. A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith., 13 (1968), 259-265.

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  2. H. Delange, Sur les fonctions q-additives on q-multiplicatives, Acta Arith., 21 (1972), 285-298.

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Authors and Affiliations

  1. FACHBEREICH MATHEMATIK, UNIVERSITÄT PADERBORN, 33098 PADERBORN, WARBURGER STR. 100, Germany

    K.-H. Indlekofer

  2. COMPUTER ALGEBRA DEPARTMENT, EÖTVÖS LORÁND UNIVERSITY, H-1117, BUDAPEST, PÁZMÁNY PÉTER SÉTÁNY I/D

    I. Kátai

Authors
  1. K.-H. Indlekofer
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  2. I. Kátai
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Indlekofer, KH., Kátai, I. Investigations in the Theory of q-Additive and q-Multiplicative Functions. I. Acta Mathematica Hungarica 91, 53–78 (2001). https://doi.org/10.1023/A:1010630810766

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  • DOI: https://doi.org/10.1023/A:1010630810766

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