A criterion for Greenberg's Conjecture

Luca Caputo (1) , Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio (2)

1 Dipartimento di Matematica [Pisa]
2 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]

We give a criterion for the vanishing of the Iwasawa λ invariants of totally real number fields K based on the class number of K(ζp) by evaluating the p-adic L functions at s = −1.

Domaines: Théorie des nombres [math.NT]

Luca Caputo, Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio. A criterion for Greenberg's Conjecture. Proceedings of the American Mathematical Society, 2008, 136, pp.2741-2744. ⟨hal-00947165⟩