ON THE NATURAL DENSITIES OF EIGENVALUES OF A SIEGEL CUSP FORM OF DEGREE 2

DOI10.1142/S1793042112501217zbMath1275.11078OpenAlexW2012533359MaRDI QIDQ4904408

Soumya Das

Publication date: 29 January 2013

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

Full work available at URL: https://doi.org/10.1142/s1793042112501217

zbMATH Keywords

eigenvaluesSiegel modular formsdensity resultssign changes

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items (6)

Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha. ⋮ On sign changes of eigenvalues of Siegel cusp forms of genus 2 in prime powers ⋮ Comparing Hecke eigenvalues of Siegel eigenforms ⋮ SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2 ⋮ Large Hecke eigenvalues and an omega result for non-Saito-Kurokawa lifts ⋮ A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

Cites Work

• The prime number theorem for automorphic \(L\)-functions for \(\text{GL}_m\)
• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• On Hecke eigenforms in the Maaß space
• Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
• EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
• PRIME DENSITY RESULTS FOR HECKE EIGENVALUES OF A SIEGEL CUSP FORM

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