The

The average of the fc-fold divisor function dk(n) = ≠{ (a1,…ak) ∈ ℤ>0k:a1⋯ak = n } has been widely studied. The Piatetski-Shapiro sequences are of the form Nc = (⌊ nc ⌋)n=1∞ with c > 1, c ∉ ℕ. In this article, we estimate the average of the k-fold divisor function over the intersection of Piatetski-Shapiro sequences.

Authors

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-03-09
DOI
https://doi.org/10.1051/ita/2026006/pdf
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

The

Victor Zhenyu Guo, Xuyan Wang
Springer Link (Chiba Institute of Technology)
Analytic Number Theory Research
article

The

Victor Zhenyu Guo, Xuyan Wang
article en

Abstract

The average of the fc-fold divisor function dk(n) = ≠{ (a1,…ak) ∈ ℤ>0k:a1⋯ak = n } has been widely studied. The Piatetski-Shapiro sequences are of the form Nc = (⌊ nc ⌋)n=1∞ with c > 1, c ∉ ℕ. In this article, we estimate the average of the k-fold divisor function over the intersection of Piatetski-Shapiro sequences.

Springer Link (Chiba Institute of Technology)
National Natural Science Foundation of China, Natural Science Foundation of Shaanxi Province
Reduced inequalities
Openalex Percentile: Top 25%
Analytic Number Theory Research
DOISourceOpenAlex
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