Generic level p Eisenstein congruences for GSp4

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Abstract

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
Volume180
Early online date13 Jul 2017
DOIs
Publication statusPublished - Nov 2017

Keywords

  • Eisenstein congruences
  • Paramodular group
  • automorphic forms
  • automorphic representations
  • Galois representations
  • Local Langlands

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