Year: 2025
Type: article
Abstract: Let $\lambda_{{\rm sym}^{r}f}(n)$ be the n-th coefficient in the Dirichlet series representing the symmetric power L-function attached to a primitive form f of weight k and level N. In this paper, we give asymptotic formulas for the arithmetic mean of $\lambda_{{\rm sym}^{r}f}(n)$ on integers under digital constraints related to the sum of digits function. Our results throw the light on the behavior of the classical function $\lambda_{{\rm sym}^{r}f}(n)$ on integers in arithmetic progression related to the sum of digits function.
Author: Khadija Mbarki
Institution: University of Monastir
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417037421
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