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Tamagawa numbers of quasisplit groups over function fields

Ralf Köhl, M. M. Radhika and Ankit Rai

Vol. 338 (2025), No. 1, 139–161
Abstract

We use Morris’ theory of Eisenstein series for reductive groups over global function fields in order to extend Harder’s computation of Tamagawa numbers to quasisplit groups.

To Günter Harder, with the deepest admiration

Keywords
Tamagawa number, Weil conjecture, quasisplit groups, Eisenstein series
Mathematical Subject Classification
Primary: 20G35
Secondary: 11M38, 11R56, 11R58, 22E55
Milestones
Received: 29 September 2023
Revised: 17 June 2025
Accepted: 19 June 2025
Published: 8 August 2025
Authors
Ralf Köhl
Department of Mathematics
Kiel University
Kiel
Germany
M. M. Radhika
Kerala School of Mathematics
Kozhikode
Kerala
India
Ankit Rai
Chennai Mathematical Institute
Chennai
Tamil Nadu
India

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