We discuss how non-critical values of L-functions can be
incorporated into a cohomological setting analogous to the Eichler cocycle
setting associated to critical values by Manin. The "cocycle" attached to
non-critical values has a structure resembling that of the non-holomorphic
part of a harmonic weak Maass form. We formalize this similarity by
interpreting the "cocycle" in the context of mock modular forms.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5312