Log-algebraicity of twisted A-harmonic series and special values of L-series in characteristic p, by Greg W. Anderson
This paper has appeared in J. Number Theory 60 (1996), no. 1, 165-209,
and so the dvi version has been removed. We find special points in the Carlitz module
related, on the one hand,
to the values at $s=1$ of characteristic $p$
Dirichlet $L$-series analogues, and on the other hand,
to the values at negative integral values
of $s$ of the characteristic $p$ Riemann zeta-function analogue.
The special points are constructed with the help of a
general theorem asserting the ``log-algebraicity'' of the
``twisted $A$-harmonic series'' associated to a
rank one sign-normalized elliptic $A$-module.
Concerning the ``special point index'' we prove a
Kummer-type criterion and raise some Vandiver-type questions.
Greg W. Anderson <email@example.com>