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On the divisor function d(n)

Published online by Cambridge University Press:  26 February 2010

Jiahai Kan
Affiliation:
Nanjing Institute of Posts and Telecommunications, 210003 Nanjing, Nanjing, China.
Zun Shan
Affiliation:
Department of MathematicsNanjing Normal University, 210097 Nanjing, Nanjing, China.
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Extract

In 1984 Heath-Brown [5] proved the following conjecture of Erdős and Mirsky [2] (which seemed at one time as hard as the twin prime problem):

“There exist infinitely many integers n for which d(n) = d(n + 1).”

MSC classification

Type
Research Article
Copyright
Copyright © University College London 1996

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References

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