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

Abstract

We investigate level $p$ Eisenstein congruences for GSp${}_4$, generalisations of level $1$ 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.

References in corpus (2)

• Formes automorphes et voisins de Kneser des réseaux de Niemeier
• Eisenstein congruences for split reductive groups