On locally repeated values of certain arithmetic functions. III
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- by Paul Erdős, Carl Pomerance and András Sárközy PDF
- Proc. Amer. Math. Soc. 101 (1987), 1-7 Request permission
Abstract:
Let $d(n)$ denote the number of natural divisors of $n$. It is shown that the number of $n \leq x$ with $d(n) = d(n + 1)$ is $O(x/\sqrt {\log \log x} )$. In addition, certain related problems and results are presented.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 1-7
- MSC: Primary 11A25
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897061-6
- MathSciNet review: 897061