Analytic constructions of p-adic L-functions and Eisenstein series
Number Theory
2012-04-18 v1
Abstract
The Fourier coefficients of the Siegel-Eisenstein series are p-adically continued for all primes p, as meromorphic functions, using the reciprocal of a product of L-functions. A construction of p-adic meromorphic families of such series is given in relation to the geometry of homogeneous spaces. Applications are given to p-adic L-functions, to Siegel's Mass Formula, to p-adic analytic families of automorphic representations. Based on author's talk for the Conference Automorphic Forms and Related Geometry, Assessing the Legacy of I.I. Piatetski-Shapiro
Cite
@article{arxiv.1204.3878,
title = {Analytic constructions of p-adic L-functions and Eisenstein series},
author = {Alexei Pantchichkine},
journal= {arXiv preprint arXiv:1204.3878},
year = {2012}
}
Comments
38 pages, including the Appendix "On p-adic L-functions for GSp(4)" on a joint work with I.I. Piatetski-Shapiro (IAS, 1999)