Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character

Lynne H Walling*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
246 Downloads (Pure)

Abstract

We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalize the space with respect to all the Hecke operators, computing the eigenvalues explicitly, and obtain a multiplicity-one result. For arbitrary level, we simultaneously diagonalize the space with respect to the Hecke operators attached to primes not dividing the level, again computing the eigenvalues explicitly.
Original languageEnglish
Pages (from-to)325-370
Number of pages46
JournalInternational Journal of Number Theory
Volume13
Issue number2
Early online date18 Aug 2016
DOIs
Publication statusPublished - Mar 2017

Keywords

  • Hecke eigenvalues
  • Eisenstein series
  • Siegel modular forms

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