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math.NT2018★ 1 cited
On the square root of the inverse different
A. Agboola, D. Burns, L. Caputo +1
Let N/F be a finite, normal extension of number fields with Galois group G. Suppose that N/F is weakly ramified, and that the square root A(N/F) of the inverse different of N.F is…
math.NT2018★ 6 cited
Class number formula for dihedral extensions
Luca Caputo, Filippo A. E. Nuccio
We give an algebraic proof of a class number formula for dihedral extensions of number fields of degree , where is any odd integer. Our formula expresses the ratio of class…