2025/10/30 by Mohammed-Adnane Garab, Garab, Mohammed-Adnane
Mathematics · #11J82 #11K60 #11K60 11J82 #Advanced Combinatorial Mathematics #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.2510.27041
openalex publication_date 2025/10/30 · openalex created_date 2025/11/05 · openalex updated_date 2026/07/28
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.