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:
“Concord is just as idiotic as ever in relation to the spirits and their knockings. Most people here believe in a spiritual world ... in spirits which the very bullfrogs in our meadows would blackball. Their evil genius is seeing how low it can degrade them. The hooting of owls, the croaking of frogs, is celestial wisdom in comparison.”
—Henry David Thoreau (18171862)
“Hesitation increases in relation to risk in equal proportion to age.”
—Ernest Hemingway (18991961)
“The strongest and most effective [force] in guaranteeing the long-term maintenance of ... power is not violence in all the forms deployed by the dominant to control the dominated, but consent in all the forms in which the dominated acquiesce in their own domination.”
—Maurice Godelier (b. 1934)
“Mortality: not acquittal but a series of postponements is what we hope for.”
—Mason Cooley (b. 1927)