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Characterization of log n

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Studies in Pure Mathematics

Abstract

A complex-valued function f(n) of a positive integer is said to be restrictedly additive (or, simply, additive) if (n 1, n 2)=1 implies f(n 1 n 2) =f(n 1) + f(n 2). If this equation is satisfied for any pair of integers n 1, n 2 then we say that f(n) is completely (or totally) additive.

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References

  1. P. Erdős, On the distribution of additive functions, Ann. of Math., 47 (1964), 1–20.

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Paul Erdős László Alpár Gábor Halász András Sárközy

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© 1983 Springer Basel AG

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Kátai, I. (1983). Characterization of log n . In: Erdős, P., Alpár, L., Halász, G., Sárközy, A. (eds) Studies in Pure Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5438-2_36

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  • DOI: https://doi.org/10.1007/978-3-0348-5438-2_36

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1288-6

  • Online ISBN: 978-3-0348-5438-2

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