Twisting of Siegel paramodular forms

DOI10.1142/S1793042117501019zbMath1376.11034arXiv1404.4596OpenAlexW2963926537MaRDI QIDQ4975310

Brooks Roberts, Jennifer Johnson-Leung

Publication date: 4 August 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4596

zbMATH Keywords

\(L\)-functionSiegel modular formstwistingquadratic characterparamodular group

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Modular and Shimura varieties (14G35)

Related Items (4)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Fourier coefficients for twists of Siegel paramodular forms (expanded version) ⋮ Certain abelian varieties bad at only one prime ⋮ On the paramodularity of typical abelian surfaces

Uses Software

• ecdata

Cites Work

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• The functional equation for the twisted spinor \(L\)-series of genus 2
• Local newforms for \(\text{GSp}(4)\)
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• Fourier coefficients for twists of Siegel paramodular forms (expanded version)
• Paramodular cusp forms
• Paramodular abelian varieties of odd conductor
• Twisting of paramodular vectors
• Siegel modular forms and representations

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