Abstract

We consider a conjecture of Bley and Burns which relates the epsilon constant of the equivariant Artin L-function of a Galois extension of number fields to certain natural algebraic invariants. For an odd prime number p, we describe an algorithm which either proves the conjecture for all degree 2p dihedral extensions of the rational numbers or finds a counterexample. We apply this to show the conjecture for all degree 6 dihedral extensions of Q. The correctness of the algorithm follows from a finiteness property of the conjecture which we prove in full generality.

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