Relation To Bernoulli Polynomials
The function defined above generalizes the Bernoulli polynomials:
where denotes the real part of z. Alternately,
In particular, the relation holds for and one has
Read more about this topic: Hurwitz Zeta Function
Famous quotes containing the words relation to and/or relation:
“A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of govt as beyond its control, of itself as wholly controlled by govt. Somewhere in between and in gradations is the group that has the sense that govt exists for it, and shapes its consciousness accordingly.”
—Lionel Trilling (19051975)
“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)