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 adolescent does not develop her identity and individuality by moving outside her family. She is not triggered by some magic unconscious dynamic whereby she rejects her family in favour of her peers or of a larger society.... She continues to develop in relation to her parents. Her mother continues to have more influence over her than either her father or her friends.
    Terri Apter (20th century)

    There is the falsely mystical view of art that assumes a kind of supernatural inspiration, a possession by universal forces unrelated to questions of power and privilege or the artist’s relation to bread and blood. In this view, the channel of art can only become clogged and misdirected by the artist’s concern with merely temporary and local disturbances. The song is higher than the struggle.
    Adrienne Rich (b. 1929)

    O God, protect me from my friends, that they have not power over me.
    Thou hast giv’n me power to protect myself from thy bitterest enemies.
    William Blake (1757–1827)

    A sophistical rhetorician, inebriated with the exuberance of his own verbosity, and gifted with an egotistical imagination that can at all times command an interminable and inconsistent series of arguments to malign an opponent and to glorify himself.
    Benjamin Disraeli (1804–1881)