Regulators of Siegel units and applications
Number Theory
2023-06-23 v1
Abstract
We present a formula for the regulator of two arbitrary Siegel units in terms of L-values of pairwise products of Eisenstein series of weight one. We give applications to Boyd's conjectures and Zagier's conjectures for elliptic curves of conductor 14, 21, 35, 48 and 54.
Cite
@article{arxiv.1504.08127,
title = {Regulators of Siegel units and applications},
author = {François Brunault},
journal= {arXiv preprint arXiv:1504.08127},
year = {2023}
}
Comments
19 pages