On the Fourier coefficients of nonholomorphic Hilbert modular forms of half-integral weight

DOI10.1215/S0012-7094-96-08414-8zbMath0859.11031MaRDI QIDQ1922129

Kamal Khuri-Makdisi

Publication date: 9 April 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

theta functionsDirichlet seriesFourier coefficientsHecke operatorsHecke eigenformnonholomorphic Hilbert modular forms over a totally real number field

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) 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

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 Bessel identity for the theta correspondence ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ The spectral decomposition of shifted convolution sums over number fields ⋮ On the Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces and the critical values of zeta functions ⋮ A spectral proof of class number one ⋮ Twisted \(L\)-functions over number fields and Hilbert's eleventh problem ⋮ Computation of Maass waveforms with nontrivial multiplier systems ⋮ On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties

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