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A New Formula for Pi Derived from String Theory

Author: tonagaiExecutions: 2037

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Indian string theory researchers Arnab Priya Saha and Aninda Sinha have devised a new formula for pi in their paper “Field Theory Expansions of String Theory Amplitudes.” Let’s take a look at it.
The formula takes the following form, and the sum is taken over n from 1 to ∞. λ is a complex number with a real part of at least -1.
Π = ∑ (1/(n+λ) − 4/(2*n+1)) * pochhammer((2*n+1)^2/(4*(n+λ)) − n, n−1) / n!
λ
Complex numbers with a real part of -1 or greater
How far should we go to maintain harmony?
Field Theory Expansions of String Theory Amplitudes
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.221601

IISc Physicists Discover a New Way to Represent ‘Pi’
https://iisc.ac.in/events/iisc-physicists-find-a-new-way-to-represent-pi/

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