A Geometric-Arithmetic Framework for the Flint Hills Series
Number Theory
2025-11-03 v1
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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Cite
@article{arxiv.2510.27041,
title = {A Geometric-Arithmetic Framework for the Flint Hills Series},
author = {Mohammed-Adnane Garab},
journal= {arXiv preprint arXiv:2510.27041},
year = {2025}
}
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6 pages