Dirichlet Series - Relation To Power Series

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 difference between objective and subjective extension is one of relation to a context solely.
    William James (1842–1910)

    Hesitation increases in relation to risk in equal proportion to age.
    Ernest Hemingway (1899–1961)

    Criticism is a study by which men grow important and formidable at very small expense. The power of invention has been conferred by nature upon few, and the labour of learning those sciences which may, by mere labour, be obtained, is too great to be willingly endured; but every man can exert some judgment as he has upon the works of others; and he whom nature has made weak, and idleness keeps ignorant, may yet support his vanity by the name of critic.
    Samuel Johnson (1709–1784)

    Every man sees in his relatives, and especially in his cousins, a series of grotesque caricatures of himself.
    —H.L. (Henry Lewis)