On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields

DOI10.1016/j.jnt.2004.03.006zbMath1122.11029OpenAlexW2080418720MaRDI QIDQ1827519

Hisashi Kojima

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.03.006

zbMATH Keywords

modular forms of half-integral weightcentral value of quadratic twisted \(L\)-seriesHilbert-Maass wave formssquare of Fourier coefficients

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) 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)

A supplement to ``On the Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields ⋮ The Katok-Sarnak formula for higher weights ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ On the modular forms of weight 1/2 over algebraic number fields ⋮ Twisted \(L\)-functions over number fields and Hilbert's eleventh problem ⋮ Computation of Maass waveforms with nontrivial multiplier systems

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