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:
“Only in a house where one has learnt to be lonely does one have this solicitude for things. One’s relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.”
—Elizabeth Bowen (1899–1973)
“Every word was once a poem. Every new relation is a new word.”
—Ralph Waldo Emerson (1803–1882)
“A monarchy is the most expensive of all forms of government, the regal state requiring a costly parade, and he who depends on his own power to rule, must strengthen that power by bribing the active and enterprising whom he cannot intimidate.”
—James Fenimore Cooper (1789–1851)
“In the order of literature, as in others, there is no act that is not the coronation of an infinite series of causes and the source of an infinite series of effects.”
—Jorge Luis Borges (1899–1986)