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Régulateurs modulaires explicites via la méthode de Rogers–Zudilin

Part of: $K$-theory in number theory

Published online by Cambridge University Press:  26 April 2017

François Brunault
François Brunault*
Affiliation:
ÉNS Lyon, UMPA, 46 allée d’Italie, 69007 Lyon, France email [email protected]
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Abstract

We compute the regulator of the Beilinson–Deninger–Scholl elements in terms of special values of $L$ -functions of modular forms. The main tool is the Rogers–Zudilin method.

Nous calculons le régulateur des éléments de Beilinson–Deninger–Scholl en termes de valeurs spéciales de fonctions $L$ de formes modulaires en utilisant la méthode de Rogers–Zudilin.

Keywords

modular formsL-valuesregulators

MSC classification

Primary: 19F27: Étale cohomology, higher regulators, zeta and $L$-functions
Type
Research Article
Information
Compositio Mathematica , Volume 153 , Issue 6 , June 2017 , pp. 1119 - 1152
Copyright
© The Author 2017 

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