two ways to compute Riemanns prime counting function

Versión 1.0.0 (2,01 KB) por Thomas
one version which works (J2) and one which does not work (J1).
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Actualizado 29 mar 2021

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J1 and J2 compute Riemann's prime counting function. J1 does not converge properly in Li_sum. Please let me know, if you understand why this does not work - I could not resolve this.
J2 uses an alternative formula and provides good results.
Example:
run J2(100) to approximate the number of primes <= 200.

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Thomas (2024). two ways to compute Riemanns prime counting function (https://www.mathworks.com/matlabcentral/fileexchange/89564-two-ways-to-compute-riemanns-prime-counting-function), MATLAB Central File Exchange. Recuperado .

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1.0.0