On Eisenstein series of half-integral weight

DOI10.1215/S0012-7094-85-05216-0zbMath0577.10025WikidataQ93271412 ScholiaQ93271412MaRDI QIDQ1065848

Goro Shimura

Publication date: 1985

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

zbMATH Keywords

Fourier coefficientsEisenstein series of half-integral weightautomorphy factortransformation formula for theta series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms in several complex variables (32N10)

Related Items

Hilbert modular forms of weight 1/2 and theta functions, Nearly holomorphic functions on Hermitian symmetric spaces, On Hilbert modular forms of half-integral weight, Eisenstein series and zeta functions on symplectic groups, Zeta functions and Eisenstein series on metaplectic groups, \(p\)-adic interpolation of convolutions of Hilbert modular forms, Über den Kern der Thetaliftung. (On the kernel of the theta-lift), On the critical values of certain Dirichlet series and the periods of automorphic forms, Convergence of zeta functions on symplectic and metaplectic groups, On the Fourier coefficients of nonholomorphic Hilbert modular forms of half-integral weight, Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants, Algebraicity of metaplectic \(L\)-functions, Near holomorphy of some automorphic forms at critical points, On indivisibility of relative class numbers of totally imaginary quadratic extensions and these relative Iwasawa invariants, A short proof of the Kitaoka-Feit induction lemma for Siegel series, Vector-valued Eisenstein series of small weight, p‐adic L‐functions on metaplectic groups, The critical values of certain Dirichlet series attached to Hilbert modular forms, The number of representations of an integer by a quadratic form., Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form, On the Fourier coefficients of Jacobi forms of index \(N\) over totally real number fields, A spectral proof of class number one, Eisenstein series in the Kohnen plus space for Hilbert modular forms, The Kohnen plus space for Hilbert-Siegel modular forms, Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties, Unnamed Item, \(p\)-adic measures attached to Siegel modular forms, On the Fourier coefficients of Hilbert modular forms of half-integral weight, On the Kohnen plus space for Hilbert modular forms of half-integral weight I, Euler products and Fourier coefficients of automorphic forms on symplectic groups, Nonvanishing of twists of -functions attached to Hilbert modular forms

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