A p-adic integral for the reciprocal of L-functions
arXiv:1001.1913
Abstract
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 Fourier expansions of Eisenstein series. We carry out the method for the group SL(2), and give explicit p-adic measures whose Mellin transforms are reciprocals of Dirichlet L-functions.
16 pages, to appear in a Contemp. Math. (AMS) volume in memory of Ilya Piatetski-Shapiro