Number Theory

A Formula for the Calculation of π

Authors: Sonny Thorgren

This paper presents a novel and closed-form formula for the calculation of the mathematical constant Pi. By examining an infinite series of a specific rational function, it is shown that the sum converges directly to Pi. I provide a complete step-by-step mathematical proof utilizing partial fraction decomposition to break down the formula and connect it to well-known series. The resulting expression offers an elegant and educational bridge between rational functions and number theory.

Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

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Submission history

[v1] 2026-04-26 17:56:29

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