Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series

Lynne H Walling*

*Corresponding author for this work

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

1 Citation (Scopus)
136 Downloads (Pure)

Abstract

We find nice representatives for the 0-dimensional cusps of the degree n Siegel upper half-space under the action of Γ0(N). To each of these, we attach a Siegel Eisenstein series, and then we make explicit a result of Siegel, realizing any integral weight average Siegel theta series of arbitrary level N and Dirichlet character χL modulo N as a linear combination of Siegel Eisenstein series.
Original languageEnglish
Number of pages25
JournalRamanujan Journal
Early online date8 Feb 2018
DOIs
Publication statusE-pub ahead of print - 8 Feb 2018

Keywords

  • Eisenstein series
  • Quadratic forms
  • Siegel modular forms
  • Theta series

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