2024/06/03 by Tomasz Stachowiak, Stachowiak, Tomasz
Mathematics · #advanced mathematical theories #Analytic Number Theory Research #Algebraic and Geometric Analysis
paper · pdf · doi:10.48550/arxiv.2406.01295
An application of (iterated) Bauer-Muir acceleration can give an Apéry-like continued fraction for π with irrational coefficients, and much faster convergence. It can be considered a generalized continued fraction with the same matrix representation as the standard case, but the dimension increased due to irrationality. The construction is also given for ln(2) and √[3]2.