A Dirichlet L-function looks like this:
And the related modular form looks something like this:
What about the following:
Mathworld, in the above page, mentions that: “Dirichlet L-series can be written as sums of Lerch transcendents with z a power of e^(2pii/k).”
But an explicit google search for the following does not appear to result in much useful things:
“lerch transcendent” “modular forms” Hecke. I may generate a video showing the interpolation of for a given Dirichlet character from L-function to modular form shortly.
But, lo, I spoke too soon: THE LERCH ZETA FUNCTION I. ZETA INTEGRALS