Malle's conjecture for fair counting functions

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arxiv 2309.04838 v1 pith:QWGNSIDF submitted 2023-09-09 math.NT

Peter Koymans , Carlo Pagano This is my paper · ORCID

classification math.NT

keywords conjecturecountingfairfunctionsmalleadaptationgeneralnaive

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

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Counterexamples for T\"urkelli's Modification on Malle's Conjecture
math.NT 2025-02 conditional novelty 7.0 of 10

Türkelli's modification to Malle's conjecture fails for infinite families of wreath-product groups, and a refined Malle conjecture with a corrected b-constant is proposed.