The purpose of this post is mainly to invite Doug
, one of our oldest companions, to comment here on the general direction of the Lesson series. Doug expressed an interest in doing so back in Lesson 59
. So just this once
, Doug can post a series of long comments here. I hope this will encourage him to set up his own blog. After all, anyone is free to do so!
In Lesson 59
we were looking at theta series for lattices. For the Leech lattice this involved the Ramanujan
function, which is a Fourier series for the modular discriminant
. Fourier coefficients for cusp forms
were part of Conrey's
motivation in looking at even moments for the Riemann zeta function.