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Confluent hypergeometric functions on tube domains. (English) Zbl 0502.10013

MSC:
11F27 Theta series; Weil representation; theta correspondences
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
33C05 Classical hypergeometric functions, \({}_2F_1\)
32N99 Automorphic functions
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References:
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[4] Koecher, M.: Über Thetareihen indefiniter quadratischer Formen. Math. Nachr.9, 51-85 (1953) · Zbl 0050.04501 · doi:10.1002/mana.19530090105
[5] Maass, H.: Siegel’s modular forms and Dirichlet series. Lecture Notes in Mathematics. Vol. 216. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0224.10028
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[7] Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. Ann. Math.36, 527-606 (1935) · JFM 61.0140.01 · doi:10.2307/1968644
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