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:

    You see, I am alive, I am alive
    I stand in good relation to the earth
    I stand in good relation to the gods
    I stand in good relation to all that is beautiful
    I stand in good relation to the daughter of Tsen-tainte
    You see, I am alive, I am alive
    N. Scott Momaday (b. 1934)

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

    The power of consumer goods ... has been engendered by the so-called liberal and progressive demands of freedom, and, by appropriating them, has emptied them of their meaning, and changed their nature.
    Pier Paolo Pasolini (1922–1975)

    In the order of literature, as in others, there is no act that is not the coronation of an infinite series of causes and the source of an infinite series of effects.
    Jorge Luis Borges (1899–1986)