Document Type
Article
Date
4-17-2006
Disciplines
Mathematics
Description/Abstract
The conjectures of Deligne, Beuilinson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their L-functions. We make a numerical study for symmetric power L-functions of elliptic curves, obtaining data about the validity of their functional equations, frequency of vanishing of central values, and divisibility of Bloch-Kato quotients.
Recommended Citation
Martin, Phil and Watkins, Mark, "Symmetric Powers of Elliptic Curve L-Functions" (2006). Mathematics - All Scholarship. 109.
https://surface.syr.edu/mat/109
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0604095