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A remark on the divisor function d(n)

Published online by Cambridge University Press:  18 May 2009

R. C. Vaughan
R. C. Vaughan
Affiliation:
University of Sheffield
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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.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 1 , February 1973 , pp. 54 - 55
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

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.CrossRefGoogle Scholar
2.Richert, H. E., Selberg's sieve with weights, Mathematika 16 (1969), 1–22.CrossRefGoogle Scholar