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On the central value of Rankin $L$-functions for self-dual algebraic representations of linear groups over totally real fields

Laurent Clozel and Arno Kret

Vol. 7 (2025), No. 3-4, 637–669
Abstract

We give a new proof of a theorem of Gröbner and Raghuram and a generalisation of a theorem of Moeglin on critical values of L-functions.

Keywords
Rankin $L$-functions, special values, periods
Mathematical Subject Classification
Primary: 11F66, 11F67, 11F70
Milestones
Received: 18 December 2023
Revised: 22 March 2024
Accepted: 6 April 2024
Published: 12 September 2025
Authors
Laurent Clozel
Mathématiques
Université Paris-Sud Orsay
Orsay
France
Arno Kret
Korteweg-de Vries Instituut
Universiteit van Amsterdam
Amsterdam
Netherlands