Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions

DOI10.1007/BF01166080zbMath0517.10024OpenAlexW2078609085MaRDI QIDQ1053055

Tsuneo Arakawa

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154965

zbMATH Keywords

analytic continuationconstructions of L-functionvector-valued Siegel modular form

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (30)

Some remarks on triple L-functions ⋮ On triple L-functions ⋮ Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series ⋮ Andrianov's \(L\)-functions associated to Siegel wave forms of degree two ⋮ Theta lifts of Bianchi modular forms and applications to paramodularity ⋮ Jacobi forms and certain special values of Dirichlet series associated to modular forms ⋮ Nearly holomorphic Eisenstein liftings ⋮ Yoshida lifts and Selmer groups ⋮ Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras ⋮ Level stripping for Siegel modular forms with reducible Galois representations ⋮ \(\mathrm{GL}_2\times \mathrm{GSp}_2\) \(L\)-values and Hecke eigenvalue congruences ⋮ Surjectivity of Siegel \(\Phi\)-operator for square free level and small weight ⋮ Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two ⋮ A generalization of vector valued Jacobi forms ⋮ Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms ⋮ On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I ⋮ On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II. ⋮ Structures and dimensions of vector valued Jacobi forms of degree two ⋮ Level stripping for vector-valued Siegel modular forms of genus 2 ⋮ Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups ⋮ Siegel Modular Forms and Their Applications ⋮ Eisenstein congruences for split reductive groups ⋮ Hecke eigenvalues of Siegel modular forms of ``different weights ⋮ Congruence Primes of the Kim–Ramakrishnan–Shahidi Lift ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II ⋮ Vector-valued Siegel modular forms of weight det^k ⊗ Sym(8) ⋮ Construction of certain vector valued Siegel modular forms of degree two ⋮ On certain vector valued Siegel modular forms of degree two ⋮ On the computation of the determinant of vector-valued Siegel modular forms

Cites Work

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• On the functional equations satisfied by Eisenstein series
• Zum Darstellungssatz für Siegelsche Modulformen
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
• EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
• Über Diskontinuierliche Gruppen Picardschen Typus und Zugehörige Eisensteinsche Reihen
• ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS

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