Sign changes of Hecke eigenvalues of Siegel cusp forms of genus two

DOI10.1090/S0002-9939-06-08570-4zbMath1175.11022MaRDI QIDQ3420077

Winfried Kohnen

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular formsSiegel modular formsHecke eigenvalues

Mathematics Subject Classification ID

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

Related Items (16)

Oscillations of coefficients of Dirichlet series attached to automorphic forms ⋮ 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 ⋮ On signs of Hecke eigenvalues of Siegel eigenforms ⋮ Sign changes of Fourier coefficients of Siegel cusp forms of degree two on Hecke congruence subgroups ⋮ Pullbacks of Siegel Eisenstein series and weighted averages of critical \(L\)-values ⋮ On the sign changes of coefficients of general Dirichlet series ⋮ On the oscillatory behavior of certain arithmetic functions associated with automorphic forms ⋮ Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2 ⋮ SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2 ⋮ THE FIRST NEGATIVE HECKE EIGENVALUE OF GENUS 2 SIEGEL CUSPFORMS WITH LEVEL N ≥ 1 ⋮ PRIME DENSITY RESULTS FOR HECKE EIGENVALUES OF A SIEGEL CUSP FORM ⋮ Large Hecke eigenvalues and an omega result for non-Saito-Kurokawa lifts ⋮ The first negative eigenvalue of Yoshida lifts ⋮ Sign changes of coefficients of certain Dirichlet series ⋮ A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

Cites Work

• Unnamed Item
• The theory of Jacobi forms
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• On the signs of Fourier coefficients of cusp forms
• On Hecke eigenforms in the Maaß space
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• On Fourier coefficients of Siegel modular forms.

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