P-Adic Measures for Reciprocals of L-Functions of Totally Real Number Fields
Abstract
We generalize the work of Gelbart, Miller, Pantchichkine, and Shahidi on constructing p-adic measures to the case of totally real fields K. This measure is the Mellin transform of the reciprocal of the p-adicL-function which interpolates the special values at negative integers of the Hecke L-function of K. To define this measure as a distribution, we study the non-constant terms in the Fourier expansion of a particular Eisenstein series of the Hilbert modular group of K.Proving the distribution is a measure requires studying the structure of the Iwasawa algebra.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Mathematics
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