Regulators of Siegel units and applications

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• 作者：Franç ; ois Brunault ^{francois.brunault@ens-lyon.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：19F27 ; 11F03 ; 11F11 ; 11F67 ; 11G16
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：163
• 期：Complete
• 页码：542-569
• 全文大小：462 K

文摘

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.