Regulators of Siegel units and applications

François Brunault (1)

1 Algèbre. Théorie des nombres

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.

Domaines: Mathématiques [math]

François Brunault. Regulators of Siegel units and applications. Journal of Number Theory, 2016, 163, pp.542 - 569. ⟨10.1016/j.jnt.2015.12.019⟩. ⟨ensl-01400913⟩