Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593615 | Journal of Number Theory | 2015 | 32 Pages |
Abstract
We generalise results of Chris Hall on the L-function of curves E over characteristic p function fields K, by using equivariant L-functions and cohomologically trivial modules. In fact, K will be the rational function field over a fixed finite field most of the time. The curves which we can treat are superelliptic curves which come as Galois covers of prime degree of the projective line over K. We are thus able to determine the degree of the L-function (which is a polynomial in our situation), and sometimes we get upper bounds on the analytic rank.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Cornelius Greither,