A newform theory for Katz modular forms
Number Theory
2026-04-15 v1
Abstract
In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation.
Cite
@article{arxiv.1911.08866,
title = {A newform theory for Katz modular forms},
author = {Daniel Mamo},
journal= {arXiv preprint arXiv:1911.08866},
year = {2026}
}
Comments
11 pages