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arXiv · 2505.04166

An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II

Anji Dong·Katerina Saettone·Kendra Song·Alexandru Zaharescu
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Abstract

This paper presents some new results concerned with uniform distribution properties associated with the sequence $(a_n)_{n\in\mathbb{N}}$, which is defined as the distance from the $n$-th square pyramidal number to the closest square. We also extend the results to arithmetic progressions.

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Anji Dong, Katerina Saettone, Kendra Song, Alexandru Zaharescu. 2025-05-07. An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II. https://arxiv.org/abs/2505.04166

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