Functional equations of L-functions and duality in queueing theory
Dr. Eitan Bachmat
(Ben Gurion University)
Thursday; October 22, 2009
12:30-14:00
Room -101
Abstract
Riemann established analytic continuation and the functional equation for the Zeta
function by
considering it as the function of moments of another function (essentially the theta function) which
satisfies a modular equation.
Later Hecke used the same trick to do the same for certain L-functions. We show how this trick can
be combined with
the Pollaczek-Khinchine formula from queueing theory to establish a duality theory
for certain types of queues, which resemble the idea of
the express line in the supermarket.
