Lehmer's Interesting Series
/ Authors
/ Abstract
Abstract The series is evaluated in a nonrecursive and closed process. It can be analytically continued beyond its domain of convergence |z| < 4 when k = 0, 1, 2, …. From this we provide a firm basis for Lehmer's observation that π emerges from the limiting behavior of Sk(2) as k → ∞.
Journal: The American Mathematical Monthly