Symmetric powers of elliptic curve L-functions

Phil Martin; Mark Watkins

Symmetric powers of elliptic curve L-functions

Number Theory 2007-05-23 v2

Authors: Phil Martin , Mark Watkins

Abstract

The conjectures of Deligne, Be\u\i linson, 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.

Keywords

symmetric power L-functions elliptic curves special values functional equations Bloch-Kato conjecture

Cite

@article{arxiv.math/0604095,
  title  = {Symmetric powers of elliptic curve L-functions},
  author = {Phil Martin and Mark Watkins},
  journal= {arXiv preprint arXiv:math/0604095},
  year   = {2007}
}

Comments

Accepted to ANTS-VII

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