The series for the inverse tangent,
Plugging in gives Gregory's formula
This series is intimately connected with the number of representations of by squares , and also with Gauss's circle problem (Hilbert and Cohn-Vossen 1999, pp. 27-39).
The series for the inverse tangent,
Plugging in gives Gregory's formula
This series is intimately connected with the number of representations of by squares , and also with Gauss's circle problem (Hilbert and Cohn-Vossen 1999, pp. 27-39).
Weisstein, Eric W. "Leibniz Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LeibnizSeries.html