Sign changes of Fourier coefficients of Hilbert modular forms

DOI10.1016/j.jnt.2014.05.004zbMath1311.11035OpenAlexW1971145656MaRDI QIDQ741681

Naomi Tanabe, Jaban Meher

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.05.004

zbMATH Keywords

\(L\)-functionsHilbert modular formssign change

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Fourier coefficients of automorphic forms (11F30) Transcendence (general theory) (11J81) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (6)

On the signs of Fourier coefficients of Hilbert cusp forms ⋮ On some first sign change problems of modular forms ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ A note on the extended Bruinier-Kohnen conjecture ⋮ Equidistribution of signs for Hilbert modular forms of half-integral weight ⋮ Sign changes in restricted coefficients of Hilbert modular forms

Cites Work

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• The first sign change of Fourier coefficients of cusp forms
• THE FIRST NEGATIVE HECKE EIGENVALUE
• Sign changes of Fourier coefficients of half-integral weight cusp forms

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