Evaluation of ζ(2) by the definition (sort of) [HP42S & HP71B]

10262021, 03:58 PM
Post: #8




RE: Evaluation of ζ(2) by the definition (sort of) [HP42S & HP71B]
(10262021 02:13 PM)Ren Wrote: What does ζ mean? Basically it is a Greek letter, zeta, used do denote the mathematical function zeta(x), defined as ζ(x) = 1 + 1/2ˣ + 1/3ˣ + 1/4ˣ + 1/5ˣ + … where x is a real number greater than zero When x = 1, for instance,it is equivalent to the harmonic function, ζ(x) = H(x) = 1 + 1/2 + 1/3+ 1/4 + 1/5 + … Later the domain was extended to all the real axis and eventually to all the complex plane, when things started to become really interesting. https://www.britannica.com/science/Riema...afunction 

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