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 whole point of Camp is to dethrone the serious. Camp is playful, anti-serious. More precisely, Camp involves a new, more complex relation to “the serious.” One can be serious about the frivolous, frivolous about the serious.”
—Susan Sontag (b. 1933)
“The psychoanalysis of individual human beings, however, teaches us with quite special insistence that the god of each of them is formed in the likeness of his father, that his personal relation to God depends on his relation to his father in the flesh and oscillates and changes along with that relation, and that at bottom God is nothing other than an exalted father.”
—Sigmund Freud (1856–1939)
“There is between sleep and us something like a pact, a treaty with no secret clauses, and according to this convention it is agreed that, far from being a dangerous, bewitching force, sleep will become domesticated and serve as an instrument of our power to act. We surrender to sleep, but in the way that the master entrusts himself to the slave who serves him.”
—Maurice Blanchot (b. 1907)
“Autobiography is only to be trusted when it reveals something disgraceful. A man who gives a good account of himself is probably lying, since any life when viewed from the inside is simply a series of defeats.”
—George Orwell (1903–1950)