On Stickelberger elements for Q(ζpn+1)+Q(ζpn+1)+ and p-adic L-functions

TextWe give a survey of a couple known constructions of p-adic L  -functions including Iwasawa's construction from classical Stickelberger elements. We then construct “real” Stickelberger elements, i.e., explicit elements in the Galois group ring with ZpZp coefficients that annihilate the Sylow p  -subgroup of the ideal class group of Q(ζpn+1)+Q(ζpn+1)+. In analogy with Iwasawa's work, we show that these elements are coherent in ZpZp-towers and give rise to twisted p-adic L-functions.VideoFor a video summary of this paper, please visit http://youtu.be/UZJCJsnkg6w.