Base change for Stark-type conjectures ``over \({\mathbb Z}\)'' (Q2769332)

The author formulates a new generalization of Stark's conjecture regarding the values of Artin \(L\)-functions at \(s=0\). He proves that this new conjecture satisfies a base change property and recovers as a corollary Hayes's base change theorem for the Brumer-Stark Conjecture. He generalizes the base change multipliers of Hayes and Sands and interprets them as determinants in a new way, which allows him to give very short and straightforward proofs of two integrality theorems of these authors. He proves a comparison theorem between his conjecture and a conjecture of Rubin. He lists the cases in which his conjecture is known to hold true. The paper is almost self contained and clearly written.