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Über verallgemeinerte Momente additiver Funktionen (1987)

Indlekofer, Karl-Heinz

Springer

Monatshefte für Mathematik 103 (1987), S. 121-132

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ISSN: 1436-5081

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper we give characterizations of additive functionsf, for which $$\mathop {\lim \sup }\limits_{x \to \infty } x^{ - 1} \sum\limits_{n \leqslant x} {\varphi (|f(n)|)}$$ is bounded, where φ: ℝ+ → ℝ+ is monotone and or $$\begin{array}{*{20}c} {\varphi (x) = c^x } & {(x \in \mathbb{R}).} \\ \end{array}$$ A typical example is φ (x)=x a (a〉0) forx≥0.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01630682

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