Digitale Medien
Springer
Monatshefte für Mathematik
86 (1979), S. 333-336
ISSN:
1436-5081
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract Denote byf(k) the least natural numberm for which 1+mk is squarefree.Erdös gave the estimatef(k)≪k 3/2(logk)−1. We derive (by elementary means) the asymptotic relation $$\sum\limits_{k \leqslant x} {(f(k))^\alpha = c(\alpha )x + 0(x} ) (x \to \infty ,0 \leqslant \alpha \leqslant 1)$$
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01300248
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