paper

Symmetric powers of elliptic curve L-functions

arXiv:math/0604095

Abstract

The conjectures of Deligne, Be\uılinson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their -functions. We make a numerical study for symmetric power -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.

Accepted to ANTS-VII

Cited by in corpus (1)

Symmetric powers of elliptic curve L-functions · wovepaper