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mathematical analysis > calculus > series > rational zeta series
number > real number > rational zeta series
number > number theory > analytic number theory > L-function > rational zeta series
mathematical analysis > complex analysis > meromorphic function > L-function > rational zeta series

Terme préférentiel

rational zeta series  

Définition(s)

  • 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 ζ(s, m) is the Hurwitz zeta function. It is not hard to show that any real number x can be expanded in this way.

    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Rational_zeta_series)

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http://data.loterre.fr/ark:/67375/PSR-NHDPQMVR-B

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RDF/XML TURTLE JSON-LD Date de création 04/08/2023, dernière modif. 04/08/2023