Andrianov's \(L\)-functions associated to Siegel wave forms of degree two

DOI10.1007/BF01460987zbMath0837.11026MaRDI QIDQ1907188

Akira Hori

Publication date: 13 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165365

zbMATH Keywords

Mellin transformfunctional equationFourier coefficientsanalytic continuationHecke eigenformWhittaker functionMaaß wave formSiegel half space Andrianov \(L\)-function

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 (2)

Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\). ⋮ Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations

Cites Work

• On invariant differential operators on bounded symmetric domains of type IV
• Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• On generalized Whittaker functions on Siegel’s upper half space of degree 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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