nLab
L-function

Contents

Idea

LL-functions are certain meromorphic functions generalizing the Riemann zeta function. They are typically defined by what is called an LL-series which is then meromorphically extended to the complex plane.

Many L-functions have mutually similar deep features like satisfaction of a functional equation etc. The generalized Riemann conjecture is concerned with zeros of the Dedekind zeta function for which the L-series (the Dirichlet L-function) is complicated from the classical Riemann case by the presence of the additional parameter, the Dirichlet character.

Examples

Could not include zeta-functions and eta-functions and L-functions – table

References

Revised on August 21, 2014 09:47:00 by Urs Schreiber (82.113.121.235)