Abstract
Let d(m) denote the number of divisors of the integer m. Chowla has conjectured that the integers for which d(m + 1) > d(m) have density ½. In this paper I prove and generalize this conjecture. I prove in § 1 a corresponding result for a general class of functions f(m), and in § 2 the result for d(m) which is not included among the f(m). I employ the method used in my paper: “On the density of some sequences of numbers.”
Publisher
Cambridge University Press (CUP)
Reference1 articles.
1. Journal London Math. Soc. 10 (1935), 120–125.
Cited by
10 articles.
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