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Chebyshev’s bias in dihedral and generalized quaternion Galois groups

Chebyshev’s bias in dihedral and generalized quaternion Galois groups

We study the inequities in the distribution of Frobenius elements in Galois extensions of the rational numbers with Galois groups that are either dihedral D 2 n or (generalized) quaternion H 2 n of two-power order.In the spirit of recent work of Fiorilli and Jouve [8], we study, under natural …