Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients

Abhishek Saha

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

15 Citations (Scopus)

Abstract

We prove that a Siegel cusp form of degree 2 for the full modular group is determined by its set of Fourier coefficients a(S) with 4 det(S) ranging over odd squarefree integers. As a key step to our result, we also prove that a classical cusp form of half-integral weight and level 4N, with N odd and squarefree, is determined by its set of Fourier coefficients a(d) with d ranging over odd squarefree integers, a result that was previously known only for Hecke eigenforms.
Original languageEnglish
Pages (from-to)363-380
Number of pages18
JournalMathematische Annalen
Volume355
Issue number1
Early online date1 Feb 2012
DOIs
Publication statusPublished - Jan 2013

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