@article{2690861,
abstract = {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.},
author = {Spieß, Michael},
issn = {0025-5831},
journal = {Mathematische Annalen},
number = {1-2},
pages = {239--265},
publisher = {Springer-Verlag},
title = {{Shintani cocycles and the order of vanishing of p-adic Hecke L-series at s=0}},
doi = {10.1007/s00208-013-0983-5},
volume = {359},
year = {2014},
}