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arXiv · 1504.08127

Regulators of Siegel units and applications

François Brunault
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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.

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François Brunault. 2015-04-30. Regulators of Siegel units and applications. https://doi.org/10.1016/j.jnt.2015.12.019

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