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Malle's conjecture for fair counting functions

Peter Koymans and Carlo Pagano

Vol. 19 (2025), No. 5, 1007–1028
Abstract

We show that the naive adaptation of Malle’s conjecture to fair counting functions is not true in general.

Keywords
Malle's conjecture, number fields
Mathematical Subject Classification
Primary: 11N45, 11R45
Secondary: 11R21, 11R29
Milestones
Received: 18 September 2023
Revised: 22 April 2024
Accepted: 15 June 2024
Published: 22 April 2025
Authors
Peter Koymans
Institute for Theoretical Studies
ETH Zurich
Zurich
Switzerland
Carlo Pagano
Department of Mathematics and Statistics
Concordia University
Montreal
Quebec
Canada

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