We investigate level p Eisenstein congruences for GSp4 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.
|Number of pages||21|
|Journal||Journal of Number Theory|
|Early online date||13 Jul 2017|
|Publication status||Published - Nov 2017|
- Automorphic representations
- Eisenstein congruences
- Paramodular group