A criterion for Greenberg’s conjecture

Caputo, Luca; Nuccio, Filippo

doi:10.1090/S0002-9939-08-09283-6

A criterion for Greenberg’s conjecture
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by Luca Caputo and Filippo Alberto Edoardo Nuccio PDF

Proc. Amer. Math. Soc. 136 (2008), 2741-2744 Request permission

Abstract:

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

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