Analytic evaluation of Hecke eigenvalues for Siegel modular forms of degree two

DOI10.2140/obs.2019.2.207zbMath1517.11048arXiv1806.01612WikidataQ128412258 ScholiaQ128412258MaRDI QIDQ6165866

Owen Colman, Nathan C. Ryan, Alexandru Ghitza

Publication date: 2 August 2023

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01612

zbMATH Keywords

Siegel modular formsHecke operators

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60)

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Cites Work

• Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms
• Congruences between Siegel modular forms of degree two
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• Siegel Modular Forms and Their Applications
• Some numerical computations concerning spinor zeta functions in genus $\boldsymbol{2}$ at the central point
• Evaluating Igusa functions
• Hecke algebras
• Computations of Siegel Modular Forms of Genus Two
• Paramodular cusp forms
• Unnamed Item