Preprint arXiv: 2402.10864[math.NT]; last accessed May 13, 2024.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: For D a natural number that is not a perfect square and for k a non-zero integer, consider the subset ℤk(√D) of the quadratic integer ring ℤ(√D) consisting of elements x+y√D for which x2−Dy2=k . For each k such that the set ℤk(√D) is nonempty, ℤk(√D) has a natural arrangement into a sequence for which the corresponding sequence of integers x, as well as the corresponding sequence of integers y, are strong Benford sequences.
Bibtex:
@misc{,
title={Benford's Law in the ring $\mathbb{Z}(\sqrt{D})$},
author={Christine Patterson and Marion Scheepers},
year={2024},
eprint={2402.10864},
archivePrefix={arXiv},
primaryClass={math.NT}
}
Reference Type: Preprint
Subject Area(s): Number Theory