@inbook{1ce40bb2b1fe4425a6b3b6732e4da180,

title = "Estimates on Eisenstein Distributions for Reciprocals of p-Adic L-Functions: The Case of Irregular Primes",

abstract = "We consider the p-adic distributions derived from Eisenstein series studied by Gelbart, Miller, Panchishkin, and Shahidi, whose Mellin transforms are reciprocals of the Kubota-Leopoldt p-adic L-function. These distributions were shown there to be measures when p is regular. They fail to be measures when p is irregular; in this paper, we give quantitative estimates that describe their behavior more precisely.",

keywords = "Irregular primes, Iwasawa algebra, Riemann zeta-function, p-Adic L-Functions",

author = "Stephen Gelbart and Ralph Greenberg and Miller, {Stephen D.} and Freydoon Shahidi",

note = "Funding Information: Greenberg is supported by NSF grant DMS-0200785. Miller is supported by NSF grant DMS-1500562. Shahidi is partially supported by NSF grant DMS-1500759. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",

year = "2017",

doi = "10.1007/978-3-319-59728-7_7",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "193--208",

booktitle = "Progress in Mathematics",

}