The authors prove an annihilation result at u=1 for Artin-Ihara L-functions on abelian multigraph covers analogous to Brumer's conjecture and compute the index of an analogous Stickelberger ideal, plus observations on spanning trees.
On the Stickelberger ideal and the circu lar units of an abelian field
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The special value $u=1$ of Artin-Ihara $L$-functions
The authors prove an annihilation result at u=1 for Artin-Ihara L-functions on abelian multigraph covers analogous to Brumer's conjecture and compute the index of an analogous Stickelberger ideal, plus observations on spanning trees.