Shintani cocycles and the order of vanishing of p-adic Hecke L-series at s=0
Spieß, Michael
Let chi be a Hecke character of finite order of a totally real number field F. By using Hill's Shintani cocycle we provide a cohomological construction of the p-adic L-series L-p(chi, s) associated to chi. This is used to show that L-p(chi, s) has a trivial zero at s = 0 of order at least equal to the number of places of F above p where the local component of chi is trivial.
Springer-Verlag
2014
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/2690861
Spieß M. Shintani cocycles and the order of vanishing of p-adic Hecke L-series at s=0. <em>Mathematische Annalen</em>. 2014;359(1-2):239-265.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-013-0983-5
info:eu-repo/semantics/altIdentifier/issn/0025-5831
info:eu-repo/semantics/altIdentifier/wos/000339343700009
info:eu-repo/semantics/closedAccess