This is the starting point for the L-functions site. In this web site we are interested in giving information about L-functions from the Selberg class S. The information is intended to be both qualitative and quantitative. We intend to list as many properties and features of specific L-functions as possible and also to allow for the computation of coefficients, special values, and zeros upon request by the reader.
These are Dirichlet series
which satisfy 4 axioms as given by Selberg.
S satisfies a functional equation
that can be written uniquely as
where
We will call d the degree, q the level, 
the
eigenvalue set,
and 
the root number of F.
is the data for the Riemann zeta function.
is the data for the Dirichlet L-function with the character
which is the Legendre symbol modulo 5
is the data for the Dirichlet L-function with
the character 
modulo 5 defined by 
.
is the data for an
element of S corresponding to a holomorphic newform of weight k
for the full modular group.
For more information about the Selberg class, see the paper by Conrey and Ghosh.
The data are classified first by degree, then by level, then by eigenvalue,
then by root number.