Distinguished representations and modular forms of half-integral weight

From MaRDI portal
Publication:1135878

DOI10.1007/BF01390042zbMath0426.10027MaRDI QIDQ1135878

Stephen Gelbart, Ilya I. Piatetski-Shapiro

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142735




Related Items

Hilbert modular forms of weight 1/2 and theta functionsThe symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\)Twisted symmetric-square \(L\)-functions and the nonexistence of Siegel zeros on \(\mathrm{GL}(3)\)Restriction of representations of metaplectic \(\mathrm{GL}_{2}(F)\) to toriOn the symmetric fourth power \(L\)-function of \(GL_ 2\)Distinguished theta representations for certain covering groupsSome remarks on metaplectic cusp forms and the correspondences of Shimura and WaldspurgerBranching laws for the metaplectic cover of \(\operatorname{GL}_2\)Automorphic forms on covering groups of GL(2)The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\)RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)Stability of Rankin–Selberg gamma factors for Sp(2n),Sp̃(2n) and U(n,n)Uniqueness and existence of Whittaker models for the metaplectic groupModular forms of half-integral weight on exceptional groupsOn Supercuspidal Representations of the Metaplectic GroupLocal descent to quasi-split even general spin groupsThe tensor product of exceptional representations on the general linear groupSome results in the theory of genuine representations of the metaplectic double cover of \(GSp_{2n}(F)\) over \(p\)-adic fieldsThe twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\)On Bessel distributions for quasi-split groups\(L\)-functions and Fourier-Jacobi coefficients for the unitary group \(U(3)\)Generating functions on covering groupsOn a certain metaplectic Eisenstein series and the twisted symmetric square \(L\)-functionOn the modular forms of weight 1/2 over algebraic number fieldsTwisted symmetric square \(L\)-functions for \(\mathrm {GL}_n\) and invariant trilinear formsKirillov models for distinguished representationsHecke \(L\)-functions and Fourier coefficients of covering Eisenstein seriesUnnamed ItemTheta correspondence of automorphic charactersThe spectral decomposition of \(|\theta |^2\)Criteria for the existence of cuspidal theta representationsOn Whittaker coefficients of some metaplectic formsDistinguished cusp forms are theta seriesUnnamed ItemUnnamed ItemFourier coefficients of theta functions at cusps other than infinityWaldspurger’s involution and lifting of charactersOn the Saito-Kurokawa liftingModular formsMetaplectic formsFundamental local equivalences in quantum geometric LanglandsLocal Coefficients and Gamma Factors for Principal Series of Covering Groups



Cites Work