On Stickelberger elements for [formula omitted] and p-adic L-functions

Abstract

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 Zp coefficients that annihilate the Sylow p-subgroup of the ideal class group of Q(ζpn+1)+. In analogy with Iwasawa's work, we show that these elements are coherent in Zp-towers and give rise to twisted p-adic L-functions. VideoFor a video summary of this paper, please visit http://youtu.be/UZJCJsnkg6w.