TY - JOUR
AB - 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.
AU - Spieß, Michael
ID - 2690861
IS - 1-2
JF - Mathematische Annalen
SN - 0025-5831
TI - Shintani cocycles and the order of vanishing of p-adic Hecke L-series at s=0
VL - 359
ER -