Maass relations in higher genus

2008/02/14 by Shunsuke Yamana, Yamana, Shunsuke
Biochemistry, Genetics and Molecular Biology · Mathematics · #11F30 #Advanced Algebra and Geometry #Amyloidosis: Diagnosis, Treatment, Outcomes #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F30

paper · pdf · doi:10.48550/arxiv.0802.2096

12 pages of text

openalex publication_date 2008/02/14 · arxiv created 2008/05/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an arbitrary even genus 2n we show that the subspace of Siegel cusp forms of degree 2n generated by Ikeda lifts of elliptic cusp forms can be characterized by certain linear relations among Fourier coefficients. This generatizes the work of Kohnen and Kojima.

Citations

• Adelic Maass spaces on U(2,2)

Related

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• Certain Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
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