On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
From MaRDI portal
Publication:5960968
DOI10.2307/3062143zbMath0998.11023OpenAlexW2059051752MaRDI QIDQ5960968
Publication date: 22 April 2002
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3062143
Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field, CAP representations of \(G_{2}\) and the spin \(L\)-function of \(\mathrm{PGSp}_6\), A note on mass equidistribution of holomorphic Siegel modular forms, Certain conjectures relating unipotent orbits to automorphic representations, On the mean square of standard \(L\)-functions attached to Ikeda lifts, An inner product relation on Saito-Kurokawa lifts, Siegel modular forms of weight 13 and the Leech lattice, Arithmetical modular forms and new constructions of \(p\)-adic \(L\)-functions on classical groups, Linear relations between Fourier coefficients of special Siegel modular forms, Unnamed Item, Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\), Harmonic theta series and the Kodaira dimension of \(\mathcal{A}_6\), LIFTING PUZZLES IN DEGREE FOUR, Congruences of Siegel Eisenstein series of degree two, Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift, On the spezialschar of Maass, Miyawaki's \(F_{12}\) spinor \(L\)-function conjecture, Discrete series multiplicities for classical groups over \(\mathbb{Z}\) and level 1 algebraic cusp forms, On the size of Ikeda lifts, Siegel modular varieties and the Eisenstein cohomology of \(\mathrm{PGL}_{2g+1}\), Congruences for Hecke eigenvalues of Siegel modular forms, An explicit lifting construction of CAP forms on O(1,5), Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift, Harder's conjecture. I, Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms, Higher level cusp forms on exceptional group of type \(E_7\), A Miyawaki type lift for \(\mathrm{GSpin}(2,10)\), Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms, On the mod \(p\) kernel of the theta operator and Eisenstein series, Survey article: Characterizations of the Saito-Kurokawa lifting, An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\), Fourier-Jacobi expansion and the Ikeda lift, Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms, Two modularity lifting conjectures for families of Siegel modular forms, Towards a classification of global integral constructions and functorial liftings using the small representations method, Hecke duality of Ikeda lifts, Petersson norms and liftings of Hilbert modular forms, Explicit formulas for the twisted Koecher-Maaß series of the Duke-Imamoglu-Ikeda lift and their applications, On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms, Automorphic forms for some even unimodular lattices, ON THE SPINOR L-FUNCTION OF MIYAWAKI–IKEDA LIFTS, A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting, Non-vanishing of Koecher-Maass series attached to Siegel cusp forms on the real line, Siegel series for skew Hermitian forms over quaternion algebras, Maass Spezialschar of level \(N\), Congruences for Fourier coefficients of lifted Siegel modular forms. II: The Ikeda lifts, Families of Siegel modular forms, \(L\)-functions and modularity lifting conjectures, On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2, On zeta functions and families of Siegel modular forms, Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators, An explicit formula for the Koecher-Maaß\ Dirichlet series for the Ikeda lifting, Maass space for lifts to \(\mathrm{GL}(2)\) over a division quaternion algebra, Maass relations in higher genus, On the modularity of the \(\text{GL}_2\)-twisted spinor \(L\)-function, On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups, Siegel Modular Forms and Their Applications, A remark on the Ikeda lift and local singular series polynomials, Non-vanishing of Miyawaki type lifts, Cusp forms on the exceptional group of type, Whittaker supports for representations of reductive groups, Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda, A CERTAIN DIRICHLET SERIES OF RANKIN–SELBERG TYPE ASSOCIATED WITH THE IKEDA LIFT OF HALF‐INTEGRAL WEIGHT, A theory of Miyawaki liftings: the Hilbert-Siegel case, Restricting Hecke-Siegel operators to Jacobi modular forms, Jacobi Maaß forms, Book Review: The 1-2-3 of modular forms, Degenerate principal series and Langlands classification, Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms, On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift, On the Special Values of Certain L-Series Related to Half-Integral Weight Modular Forms, Pullbacks of Saito-Kurokawa lifts, On the Archimedean Euler factors for spin \(L\)-functions, Eigenvalues of Ikeda lifts, On the Kohnen plus space for Hilbert modular forms of half-integral weight I, Koecher-Maass series of the Ikeda lift for \(U(m,m)\), Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
