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

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-17
Primary Topic
Analytic Number Theory Research
Type
article
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article

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

ArXiv.org
Analytic Number Theory Research
article

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

article en

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.

ArXiv.org
Openalex Percentile: Top 35%
Analytic Number Theory Research
Open Access PDFOpenAlex
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On the distribution of the sequence of integers $d(n^2)$ · ArXiv.org (2025) | TGRS Research Map | TGRS