# Fourier expansion of Eisenstein Series

I have been reading a bit about the Fourier expansion of Eisenstein series (weight 1/2). I came across the fact that the coefficients contain Modified Bessel functions.

Further reading I found articles discussing the zeros of these Bessel functions to behave similar to that of the zeta function (Re(s) = 1/2).

My question, is this or why isn't this a popular way to study Riemann's zeta function? Or have i misunderstood an obvious vital key element?

• Can you explain this connection more clearly? – Kimball Jun 13 '15 at 14:00