In mathematics, a rational zeta series is the representation of an arbitrary real number in terms of a series consisting of rational numbers and the Riemann zeta function or the Hurwitz zeta function. Specifically, given a real number x, the rational zeta series for x is given by
where qn is a rational number, the value m is held fixed, and ΞΆ(s, m) is the Hurwitz zeta function. It is not hard to show that any real number x can be expanded in this way.
Read more about Rational Zeta Series: Elementary Series, Polygamma-related Series, Half-integer Power Series, Expressions in The Form of P-series, Other Series
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