Arakawa, Tsuneo Vector valued Siegel’s modular forms of degree two and the associated Andrianov \(L\)-functions. (English) Zbl 0517.10024 Manuscr. Math. 44, 155-185 (1983). Reviewer: Masakazu Muro (Gifu) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 Documents MSC: 11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms 11F66 Langlands \(L\)-functions; one variable Dirichlet series and functional equations Keywords:constructions of L-function; vector-valued Siegel modular form; analytic continuation Citations:Zbl 0224.10027; Zbl 0304.10020 PDFBibTeX XMLCite \textit{T. Arakawa}, Manuscr. Math. 44, 155--185 (1983; Zbl 0517.10024) Full Text: DOI EuDML References: [1] A. N. Andrianov, Dirichlet series with Euler products in the theory of Siegel modular forms of genus 2, Trudy Mat. Inst. Steklov 112 (1971), 73-94. · Zbl 0224.10027 [2] A. N. Andrianov, Euler products corresponding to Siegel modular forms of genus 2, Uspekhi Mat. Nauk 29 (1974), 43-110. · Zbl 0304.10021 [3] M. Eichler, The basis problem for modular forms and the traces of the Hecke operators, Lect. Notes in Math. 320. Berlin-Heidelberg-New York: Springer 1973. · Zbl 0258.10013 [4] E. Hecke, Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung I, Math. Ann. 114 (1937), 1-28. · Zbl 0015.40202 [5] H. Klingen, Zum Darstellungssatz fur Siegeische Modulformen, Math. Z. 102 (1967), 30-43. · Zbl 0155.40401 [6] T. Kubota, Über diskontinuierliche Gruppen Picardschen Typus und zugehörige Eisensteinsche Reihen, Nagoya Math. J. 32 (1968), 259-271. · Zbl 0159.31303 [7] R.P. Langlands, On the functional equations satisfied by Eisenstein series, Lect. Notes in Math. 544. Berlin-Heidelberg-New York: Springer 1976. · Zbl 0332.10018 [8] H. Maass, Die Primzahlen in der Theorie der Siegeischen Modulfuktionen, Math. Ann. 124 (1951), 87-122. · Zbl 0044.30901 [9] Séminaire H. Cartan, Ponctions automorphes, 1957-1958. [10] G. Shimura, On modular correspondences for Sp(n,Z) and their congruence relations, Proc. Nat. Acad. U.S.A. 49 (1963), 824-828. · Zbl 0122.08803 [11] R. Tsushima, An explicit dimension formula for the spaces of generalized automorphic forms with respect to Sp(2,?), to appear in Proc. Japan Acad. · Zbl 0573.10016 [12] R. Tsushima, An explicit dimension formula for the spaces of generalized automorphic forms with respect to Sp(2,?), to appear. · Zbl 0573.10016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.