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arXiv · 1011.0019

Correlations of the divisor function

Lilian Matthiesen
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Abstract

In this paper we study linear correlations of the divisor function tau(n) = sum_{d|n} 1 using methods developed by Green and Tao. For example, we obtain an asymptotic for sum_{n,d} tau(n) tau(n+d) ... tau(n+ (k-1)d).

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Lilian Matthiesen. 2012-05-28. Correlations of the divisor function. https://doi.org/10.1112/plms%2Fpdr046

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