36 citations · 36 across the 4 of their papers we have counts for
4 papers
Estimates on Eisenstein distributions for reciprocals of p-adic L-functions: the case of irregular primes
Stephen Gelbart, Ralph Greenberg, Stephen D. Miller +1
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…
A p-adic integral for the reciprocal of L-functions
Stephen Gelbart, Stephen D. Miller, Alexei Pantchichkine +1
We introduce an analog of part of the Langlands-Shahidi method to the p-adic setting, constructing reciprocals of certain p-adic L-functions using the nonconstant terms of the Four…
Riemann's Zeta Function and Beyond
Stephen S. Gelbart, Stephen D. Miller
In recent years L-functions and their analytic properties have assumed a central role in number theory and automorphic forms. In this expository article, we describe the two major…
Lectures on the Arthur--Selberg Trace Formula
Steve Gelbart
These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to rec…