Twists of Hilbert Modular Forms

DOI10.2307/2154461zbMath0785.11029OpenAlexW4253527267MaRDI QIDQ4201543

Lynne H. Walling, Thomas R. Shemanske

Publication date: 25 August 1993

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.3800

zbMATH Keywords

newformsHilbert modular formscharacter twistsstrong multiplicity- one theorem

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (10)

On the Fourier coefficients of certain Hilbert modular forms ⋮ On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient ⋮ Newform theory for Hilbert Eisenstein series ⋮ The basis problem revisited ⋮ The Jacquet–Langlands correspondence for overconvergent Hilbert modular forms ⋮ On Lifting Hecke Eigenforms ⋮ Slopes of Overconvergent Hilbert Modular Forms ⋮ On the sum of fourth powers in arithmetic progression ⋮ Sign changes in restricted coefficients of Hilbert modular forms ⋮ The sign changes of Fourier coefficients of Eisenstein series

Cites Work

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• Twists of newforms
• On Hilbert modular forms of half-integral weight
• The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• The special values of the zeta functions associated with Hilbert modular forms
• Atkin-Lehner operators
• Newforms and functional equations
• On the eigenvalues of Hecke operators
• On automorphic forms on \(mathrm{GL}_2\) and Hecke operators
• On Lifting Hecke Eigenforms

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