An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II
Number Theory
2025-05-08 v1
Abstract
This paper presents some new results concerned with uniform distribution properties associated with the sequence , which is defined as the distance from the -th square pyramidal number to the closest square. We also extend the results to arithmetic progressions.
Keywords
Cite
@article{arxiv.2505.04166,
title = {An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II},
author = {Anji Dong and Katerina Saettone and Kendra Song and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:2505.04166},
year = {2025}
}
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12 pages