Comparison between the classical and characteristic p Riemann hypotheses, by David Goss
A revised version of this preprint appears as preprint 0196 and so this
version has been removed.
We propose analogs of the classical Generalized Riemann Hypothesis and
the Generalized Simplicity Conjecture for the
characteristic $p$ $L$-series associated
to function fields over a finite field. These analogs are based on the
use of absolute values. Further we use absolute values to give similar
formulations of the classical conjectures. We show how both sets of
conjectures behave in remarkably similar ways.
David Goss <email@example.com>