A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

DOI10.1142/S1793042122500026OpenAlexW3180841418MaRDI QIDQ5025434

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Publication date: 2 February 2022

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

Full work available at URL: https://doi.org/10.1142/s1793042122500026

zbMATH Keywords

Siegel modular formsHecke eigenvalues\( \mathfrak{B} \)-free numbers

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Cites Work

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• A relation between multiplicity one and Böcherer's conjecture
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• On Hecke eigenvalues of Siegel modular forms in the Maass space
• On Hecke eigenforms in the Maaß space
• Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha.
• Transfer of Siegel cusp forms of degree 2
• Distinguishing Hecke eigenforms
• On the number of dominating Fourier coefficients of two newforms
• Sign changes of Hecke eigenvalues of Siegel cusp forms of genus two
• Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications
• ON THE NATURAL DENSITIES OF EIGENVALUES OF A SIEGEL CUSP FORM OF DEGREE 2
• On the difference of consecutive terms of sequences defined by divisibility properties

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