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arXiv · 2004.05644

On Davenport Expansions, Popov's formula, and Fine's query

Alexander E Patkowski
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Abstract

We establish an explicit connection between a Davenport expansion and the Popov sum. Asymptotic analysis follows as a result of these formulas. New solutions to a query of N.J. Fine are offered, and a proof of Davenport expansions is detailed.

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Alexander E Patkowski. 2020-04-12. On Davenport Expansions, Popov's formula, and Fine's query. https://arxiv.org/abs/2004.05644

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