The age conjecture for counting G-fields
The age conjecture for counting G-fields
Let be a number field, let be a finite group, and let be a finite-dimensional faithful representation of over . Let count isomorphism classes of -fields with -discriminant . Let be the minimum of the age function on , and let be the number of nontrivial -conjugacy classes with minimum age. The age conjecture. If is sufficiently large, then
This is proposed as a representation-theoretic analogue of Malle's conjecture, with age replacing index; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Takehiko Yasuda, “Manin's conjecture vs. Malle's conjecture”, arXiv:1505.04555 (2015).
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