English

On Zagier's conjecture for $L(E,2)$: a number field example

Number Theory 2012-03-16 v1

Abstract

We work out an example, for a CM elliptic curve E defined over a real quadratic field F, of Zagier's conjecture. This relates L(E,2) to values of the elliptic dilogarithm function at a divisor in the Jacobian of E which arises from K-theory.

Keywords

Cite

@article{arxiv.1203.3429,
  title  = {On Zagier's conjecture for $L(E,2)$: a number field example},
  author = {Jeffrey Stopple},
  journal= {arXiv preprint arXiv:1203.3429},
  year   = {2012}
}

Comments

7 pages

R2 v1 2026-06-21T20:34:38.310Z