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arXiv · 2504.13968

On the distribution of the sequence of integers $d(n^2)$

Venkatasubbareddy Kampamolla·Sankaranarayanan Ayyadurai
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Abstract

In this paper, we study the distribution of the sequence of integers $d(n^2)$ under the assumption of the strong Riemann hypothesis. Under this assumption, we provide a refined asymptotic formula for the sum $\displaystyle\sum_{n\leq x}d(n^2)$ with an improved error term by extracting some more main terms.

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Venkatasubbareddy Kampamolla, Sankaranarayanan Ayyadurai. 2025-04-17. On the distribution of the sequence of integers $d(n^2)$. https://arxiv.org/abs/2504.13968

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