Estimates on Eisenstein distributions for reciprocals of p-adic L-functions: the case of irregular primes

2016/11/29 by Gelbart, Stephen, Greenberg, Ralph, Miller, Stephen D. +1
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1611.09757

Abstract

We consider the p-adic distributions derived from Eisenstein series in [GMPS], 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.

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