L-function
C11531
concept
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
All labels observed (6)
| Label | Occurrences |
|---|---|
| L-function canonical | 4 |
| zeta function | 2 |
| Euler product | 1 |
| L-function theory object | 1 |
| exceptional zero of Dirichlet L-function | 1 |
| generalization of Riemann zeta function | 1 |
Instances (9)
| Instance | Via concept surface |
|---|---|
| Hasse–Weil zeta function | zeta function |
| Dirichlet L-functions | — |
|
Dedekind zeta functions
surface form:
Dedekind zeta function
|
— |
| Euler products for automorphic L-functions | Euler product |
| Riemann zeta function | — |
| Siegel zero | exceptional zero of Dirichlet L-function |
| Selberg zeta function | zeta function |
| Artin L-functions | — |
| Hurwitz zeta function | generalization of Riemann zeta function |