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p-Series


A shorthand name for a series with the variable k taken to a negative exponent, e.g., sum_(k=1)^(infty)k^(-p), where p>1. p-series are given in closed form by the Riemann zeta function,

 sum_(k=1)^inftyk^(-p)=zeta(p).

See also

Power Series, Riemann Zeta Function

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Cite this as:

Weisstein, Eric W. "p-Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/p-Series.html

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