Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  046.04103
Autor:  Erdös, Pál
Title:  On the sum sumxk = 1 d(f(k)). (In English)
Source:  J. London Math. Soc. 27, 7-15 (1952).
Review:  Let d(n) denote the number of divisors of a positive integer n and f(x) be a polynomial with integral coefficients. The author proves that

0 < c1 < (limsupN ––> oo sumx = 1N d(f(x)) )/N log N < c2 < oo.

Reviewer:  L.-K.Hua
Classif.:  * 11N37 Asymptotic results on arithmetic functions
Index Words:  number theory

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