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:
“In relation to God, we are like a thief who has burgled the house of a kindly householder and been allowed to keep some of the gold. From the point of view of the lawful owner this gold is a gift; From the point of view of the burglar it is a theft. He must go and give it back. It is the same with our existence. We have stolen a little of Gods being to make it ours. God has made us a gift of it. But we have stolen it. We must return it.”
—Simone Weil (19091943)
“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)
“Let the maiden, with erect soul, walk serenely on her way, accept the hint of each new experience, search in turn all the objects that solicit her eye, that she may learn the power and charm of her new-born being, which is the kindling of a new dawn in the recesses of space.”
—Ralph Waldo Emerson (18031882)
“I look on trade and every mechanical craft as education also. But let me discriminate what is precious herein. There is in each of these works an act of invention, an intellectual step, or short series of steps taken; that act or step is the spiritual act; all the rest is mere repetition of the same a thousand times.”
—Ralph Waldo Emerson (18031882)