On mod $p^c$ transfer and applications
Number Theory
2013-07-05 v1
Abstract
We study a mod analog of the notion of transfer for automorphic forms. Instead of existence of eigenforms, such transfers yield congruences between eigenforms but, like transfers, we show that they can be established by a comparison of trace formulas. This rests on the properties of mod reduced multiplicities which count congruences between eigenforms. As an application we construct finite slope -adic {\it continuous} families of Siegel eigenforms using a comparison of trace formulas.
Cite
@article{arxiv.1307.1413,
title = {On mod $p^c$ transfer and applications},
author = {Joachim Mahnkopf},
journal= {arXiv preprint arXiv:1307.1413},
year = {2013}
}