Dirichlet Series - Relation To Power Series

Relation To Power Series

The sequence an generated by a Dirichlet series generating function corresponding to:

where ΞΆ(s) is the Riemann zeta function, has the ordinary generating function:

Read more about this topic:  Dirichlet Series

Famous quotes containing the words relation to, relation, power and/or series:

    The difference between objective and subjective extension is one of relation to a context solely.
    William James (1842–1910)

    The proper study of mankind is man in his relation to his deity.
    —D.H. (David Herbert)

    It feels good because God has power and if one does as God does enough times, one will become as God is.
    Michael Mann, U.S. screenwriter. Hannibal Lechtor (Brian Cox)

    There is in every either-or a certain naivete which may well befit the evaluator, but ill- becomes the thinker, for whom opposites dissolve in series of transitions.
    Robert Musil (1880–1942)