English

Generic level $p$ Eisenstein congrunces for GSp$_4$

Number Theory 2016-12-21 v2

Abstract

We investigate level pp Eisenstein congruences for GSp4_4, generalisations of level 11 congruences predicted by Harder. By studying the associated Galois and automorphic representations we see conditions that guarantee the existence of a paramodular form satisfying the congruence. This provides theoretical justification for computational evidence found in the author's previous paper.

Keywords

Cite

@article{arxiv.1605.03450,
  title  = {Generic level $p$ Eisenstein congrunces for GSp$_4$},
  author = {Dan Fretwell},
  journal= {arXiv preprint arXiv:1605.03450},
  year   = {2016}
}
R2 v1 2026-06-22T13:58:31.144Z