Explicit constants for Fejer-type smoothing on finite cyclic groups
General Mathematics
2025-12-04 v1
Abstract
We study a Fejer-type smoothing kernel on the finite cyclic group Z/NZ. For each smoothing radius we give explicit l1 and l2 norms, compute the discrete Fourier transform, and record bounds that are uniform in N. As an application we prove a smoothed discrepancy estimate with explicit constants that can be used in quantitative problems on finite cyclic groups. The arguments are elementary and the note is intended as a self contained reference.
Keywords
Cite
@article{arxiv.2512.03085,
title = {Explicit constants for Fejer-type smoothing on finite cyclic groups},
author = {Justin Grieshop},
journal= {arXiv preprint arXiv:2512.03085},
year = {2025}
}
Comments
8 pages, no figures