| Issue |
RAIRO-Theor. Inf. Appl.
Volume 60, 2026
Diophantine Analysis and Related Topics (DART2025Z)
|
|
|---|---|---|
| Article Number | 18 | |
| Number of page(s) | 26 | |
| DOI | https://doi.org/10.1051/ita/2026018 | |
| Published online | 04 June 2026 | |
On hybrid moments of Δ2(x) and Δ1(x; φ)
School of Mathematics and Statistics, Shandong Normal University,
Jinan
250014,
Shandong,
PR China
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
12
March
2026
Accepted:
29
April
2026
Abstract
Let Δ2(x) denote the error term in the asymptotic formula for the summatory function of d(n). Let Δ1(x; φ) denote the error term in the asymptotic formula of the Riesz mean. This paper devoted to the study of the hybrid moments of Δ2(x) and Δ1(x; φ).
Mathematics Subject Classification: 11N37
Key words: Dirichlet divisor problem / Rankin–Selberg problem / hybrid moment / asymptotic formula
© The authors. Published by EDP Sciences, 2026
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