Zeta Function Universality - Universality of Other Zeta Functions

Universality of Other Zeta Functions

A similar universality property has been shown for the Lerch zeta-function. The Dirichlet L-functions show not only universality, but a certain kind of joint universality that allow any set of functions to be approximated by the same value(s) of t in different L-functions, where each function to be approximated is paired with a different L-function. Sections of the Lerch zeta-function have also been shown to have a form of joint universality.

Read more about this topic:  Zeta Function Universality

Famous quotes containing the word functions:

    The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.
    Ralph Waldo Emerson (1803–1882)