A remark on the divisor function d(n)
Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 54-55

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Let d(n) denote the number of positive divisors of. A long time ago, Erdös and Mirsky [1] raised the question whether the equation d(n) = d(n+l) holds for infinitely many n. It does not seem easy to settle this problem, and in the present note we give a partial result.
Vaughan, R. C. A remark on the divisor function d(n). Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 54-55. doi: 10.1017/S0017089500001725
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[1] 1.Erdös, P. and Mirsky, L., The distribution of values of the divisor function d(n), Proc. London Math. Soc. (3) 2 (1952), 257–271. Google Scholar | DOI

[2] 2.Richert, H. E., Selberg's sieve with weights, Mathematika 16 (1969), 1–22. Google Scholar | DOI

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