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:

    ... a worker was seldom so much annoyed by what he got as by what he got in relation to his fellow workers.
    Mary Barnett Gilson (1877–?)

    Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning “When” are much more numerous than those beginning “Where” of “If.” As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.
    William Harmon (b. 1938)

    The power of a movement lies in the fact that it can indeed change the habits of people. This change is not the result of force but of dedication, of moral persuasion.
    Stephen Biko (1946–1977)

    The woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.
    Jeanine Basinger (b. 1936)