Wang-Sun Formula in $\overrightarrow{GL}(\mathbb{Z}/2k\mathbb{Z})$
Number Theory
2023-10-26 v1
Abstract
Wang and Sun proved a certain summatory formula involving derangements and primitive roots of the unit. We study such a formula but for the particular case of the set of affine derangements in and its subset of involutive affine derangements in particular; in this last case its value is relatively simple and it is related to even unitary divisors of .
Cite
@article{arxiv.2207.14495,
title = {Wang-Sun Formula in $\overrightarrow{GL}(\mathbb{Z}/2k\mathbb{Z})$},
author = {Octavio A. Agustín-Aquino},
journal= {arXiv preprint arXiv:2207.14495},
year = {2023}
}