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arXiv · 2510.27041

A Geometric-Arithmetic Framework for the Flint Hills Series

Mohammed-Adnane Garab
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Abstract

We introduce a geometric-arithmetic approach to the analysis of the Flint Hills series, linking its convergence behavior to the irrationality measure of pi. The framework highlights the interplay between the distribution of near-multiples of pi and the growth rate of denominator sequences, offering new insights into the arithmetic structure underlying this famous unsolved problem.

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Mohammed-Adnane Garab. 2025-10-30. A Geometric-Arithmetic Framework for the Flint Hills Series. https://arxiv.org/abs/2510.27041

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