Number Theory Seminar
Li-Mei Lim
Boston College
A Multiple Dirichlet Series Associated to Binary Quadratic Forms
Abstract: It is well-known that the sum of special values of the
$GL(2)$ Eisenstein series is equal to (up to some factors)
$\zeta(s)L(s,\chi_d)$, where $\zeta(s)$ is the Riemann zeta function and $L(s, \chi_d)$
is the quadratic Dirichlet $L$-series. In this talk, I will describe a new proof for this
old result, using a multiple Dirichlet series associated to binary quadratic forms.
In addition, I will describe generalizations and extensions.
Tuesday December 3, 2013 at 1:00 PM in SEO 636