On the Saito-Kurokawa lifting

1983/06/01 by I. I. Piatetski-Shapiro, Ilya Piatetski-Shapiro · 156 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Geometry #Mathematics #Nonlinear Waves and Solitons

paper · doi:10.1007/bf01389101

published in Inventiones mathematicae 71(2), 309-338 (Springer Science+Business Media)

openalex publication_date 1983/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• On Euler Products and the Classification of Automorphic Representations I
• �ber eine Spezialschar von Modulformen zweiten Grades

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• The trace of Hecke operators on the space of classical holomorphic Siegel modular forms of genus two
• Maass spaces on U(2,2) and the Bloch-Kato conjecture for the symmetric square motive of a modular form
• Artin representations for GL_n
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• A relation between multiplicity one and Bocherer's conjecture
• Transfer of Siegel cusp forms of degree 2
• Tate Classes On Siegel 3-folds
• An equidistribution theorem for holomorphic Siegel modular forms for GSp₄
• The Bessel Period Functional on SO(5): The Nontempered Case
• Local and global Maass relations (expanded version)
• Congruences among modular forms on U(2,2) and the Bloch-Kato conjecture
• Potential level-lowering for GSp(4)
• L-functions of S₃(\G₂(2,4,8))
• An elementary introduction to the Langlands program