Generic level p Eisenstein congruences for GSp4

Dan Fretwell

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)673-693
Number of pages21
JournalJournal of Number Theory
Early online date13 Jul 2017
Publication statusPublished - Nov 2017
Externally publishedYes


  • Automorphic representations
  • Eisenstein congruences
  • Paramodular group


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