Relation To Power Series
The sequence an generated by a Dirichlet series generating function corresponding to:
where ζ(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:
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (1596–1650)
“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)
“Abused as we abuse it at present, dramatic art is in no sense cathartic; it is merely a form of emotional masturbation.... It is the rarest thing to find a player who has not had his character affected for the worse by the practice of his profession. Nobody can make a habit of self-exhibition, nobody can exploit his personality for the sake of exercising a kind of hypnotic power over others, and remain untouched by the process.”
—Aldous Huxley (1894–1963)
“Every man sees in his relatives, and especially in his cousins, a series of grotesque caricatures of himself.”
—H.L. (Henry Lewis)