SIGN CHANGES IN SHORT INTERVALS OF COEFFICIENTS OF SPINOR ZETA FUNCTION OF A SIEGEL CUSP FORM OF GENUS 2

DOI10.1142/S1793042113500966zbMath1286.11076arXiv1303.3556OpenAlexW2097010842MaRDI QIDQ5408809

Emmanuel Royer, Jie Wu, Jyoti Sengupta

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1303.3556

zbMATH Keywords

Fourier coefficientspinor zeta functionVoronoi formulaSiegel form

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (3)

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. ⋮ The average order of Hecke eigenvalues of Siegel cusp forms of genus 2

Cites Work

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• Sign changes of Hecke eigenvalues of Siegel cusp forms of genus two
• Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2
• THE FIRST NEGATIVE HECKE EIGENVALUE OF GENUS 2 SIEGEL CUSPFORMS WITH LEVEL N ≥ 1
• ON THE NATURAL DENSITIES OF EIGENVALUES OF A SIEGEL CUSP FORM OF DEGREE 2
• The first negative Hecke eigenvalue of a Siegel cusp form of genus two
• SIGN CHANGES OF THE COEFFICIENTS OF AUTOMORPHIC L-FUNCTIONS

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