Regulators of Siegel units and applications

François Brunault 1
1 Algèbre. Théorie des nombres
UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
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 conductors 14, 21, 35, 48 and 54.
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François Brunault. Regulators of Siegel units and applications. Journal of Number Theory, Elsevier, 2016, 163, pp.542 - 569. ⟨10.1016/j.jnt.2015.12.019⟩. ⟨ensl-01400913⟩

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