A theory is developed showing that the Flint Hills series possesses an automorphic structure from SL(2,Z) symmetry that enforces a critical line at Re(s)=1/2 and ties convergence to bounds on the irrationality measure of pi.
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On the Critical Line Re(s) = 1/2, the Irrationality Measure of {\pi}, and the Automorphic Structure of the Flint Hills Series
A theory is developed showing that the Flint Hills series possesses an automorphic structure from SL(2,Z) symmetry that enforces a critical line at Re(s)=1/2 and ties convergence to bounds on the irrationality measure of pi.