Let d (m) denote the number of divisors of the integer m. Chowla has conjectured that the integers for which d (m-f1) > d (m) have density Q. In this paper I prove and generalize this copjecture. 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… (More)
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