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11-XX Number theory
11Rxx Algebraic number theory: global fields
11R32 Galois theory

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Counting cyclic quartic extensions of a number field

Henri Cohen, Francisco Diaz y Diaz, Michel Olivier (2005)

Journal de Théorie des Nombres de Bordeaux

In this paper, we give asymptotic formulas for the number of cyclic quartic extensions of a number field.

Counting discriminants of number fields

Henri Cohen, Francisco Diaz y Diaz, Michel Olivier (2006)

Journal de Théorie des Nombres de Bordeaux

For each transitive permutation group $G$ on $n$ letters with $n \leq 4$ , we give without proof results, conjectures, and numerical computations on discriminants of number fields $L$ of degree $n$ over $ℚ$ such that the Galois group of the Galois closure of $L$ is isomorphic to $G$ .

Currently displaying 21 – 22 of 22

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