With the help of two grants from the National
Science Foundation, AIM has begun developing
a new way to organize
mathematical data.  The *L-functions and Modular Forms Database*
organizes mathematics like a social
network: mathematical objects have a "homepage" and "friends."

What is on your haome page?  Probably your name, basic information
about you, possibly your picture, and information about your
friends and what you like to do.

What should be on the home page of the Riemann zeta function?
Basic information like its name, and formulas such as
its Dirichlet series and Euler product.  And a picture of course,
which in this case is a graph of the function along the critical line.

What does the Riemann zeta function like to do?  It has
a functional equation, and (according to the Riemann Hypothesis)
it likes to have zeros on the critical line.  That information,
and more, appears on its home page.

Who are the friends of the Riemann zeta function?  
The rational number field is a friend because its Dedekind
zeta function is the Riemann zeta function.

Other mathematical objects have a more intricate social network.
An elliptic curve has its Hasse-Weil L-function as a friend.
And, as proven by Wiles et al., there is a holomorphic
modular form with the
same L-function, so that modular form is a friend.  The symmetric
powers of the L-function are also friends, as is the isogeny
class of the elliptic curve.  All of those friends have their
own home page.
 
This project is still in its early stages.
Currently there also are home pages,
in various stages of development, 
for local and global number fields, Siegel, Hilbert, and Maass forms,
Dirichlet characters, Galois groups, and Artin L-functions.

You can visit the site at LMFDB.org