Number Theory


New Approximation Algorithms of Pi, Accelerated Convergence Formulas from N = 100 to N = 2m

Authors: François Mendzina Essomba, Gael Dieudonné Essomba Essomba

We give algorithms for the calculation of pi. These algorithms can be easily developed in a linear manner and allows the calculation of pi with an infinite degree of convergence. Of course, the calculation of the second term passes through the first one, and it is necessary, as this type of algorithms, for a larger memory for calculations contrary to the formula BBP [1] whose execution corresponds to the order of the desired number. The advantage of our formulas in spite of the dificulty associated with extracting sin(x) lies in their degree of convergence, which is infinite, they prove the Borweins brothers hypothesis on the construction of algorithms At any speed as symbolized in our generic formula (8) of this paper. These formulas for the most part are totally new : We had found several other formulas of pi l

Comments: 7 Pages. algorithm, convergence and approximation

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Submission history

[v1] 2017-04-15 06:48:55

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