The -adic -series
Fix an elliptic curve defined over .
We say a prime is a prime of good ordinary reduction for
if and
. The Hasse bound,
i.e., that
on implies that if then
ordinary at is the same as .
In this section, we define for each odd prime number of good
ordinary reduction for a -adic -function . This
is a -adic analogue of the complex -function
about which there are similar analogue of the
BSD conjecture.
Subsections
William
2007-05-25