A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
A Prime-Divisor Function
1973
Proceedings of the American Mathematical Society
This note studies the asymptotic mean values over arithmetical progressions, the general distribution of values, and the maximum order of magnitude, of a certain natural prime-divisor function of positive integers. Consider the multiplicative arithmetical function ß defined by /S(l) = l and ß(n) = axa2 ■ ■ ■ ocr if n=p\lp%% ■ ■ ■ plr (pt prime, oct>0). Kendall and Rankin [2, p. 199] pointed out that this function has the finite mean value y 1 V * * £(2)£(3) , 0", lim -> ß(n) =-= 1.943 • • •
doi:10.2307/2039376
fatcat:joyinbbanjeilj6bztqbpk3kj4