Satoh, Takakazu On triple L-functions. (English) Zbl 0607.10021 Proc. Japan Acad., Ser. A 62, 396-398 (1986). This is an announcement of the author’s result [Math. Ann. (to appear)]; see the preceding preview. MSC: 11F27 Theta series; Weil representation; theta correspondences 11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Keywords:triple L-function; third L-function; Siegel modular forms; functional equation; special values Citations:Zbl 0571.10028; Zbl 0607.10020 PDFBibTeX XMLCite \textit{T. Satoh}, Proc. Japan Acad., Ser. A 62, 396--398 (1986; Zbl 0607.10021) Full Text: DOI References: [1] T. Arakawa: Vector valued SiegePs modular forms of degree two and the associated Andrianov L-functions. Manuscripta Math., 44, 155-185 (1983). · Zbl 0517.10024 [2] S. Bocherer: Uber die Funktionalgleichung automorpher L-Funktionen zur Siegel-schen Modulgruppe. J. Reine Angew. Math., 362, 146-168 (1985). · Zbl 0565.10025 [3] P. B. Garrett: Decomposition of Eisenstein series: Rankin triple products (to appear in Ann. of Math.). JSTOR: · Zbl 0625.10020 [4] T. Satoh: On certain vector valued Siegel modular forms of degree two. Math. Ann., 274, 335-352 (1986). · Zbl 0571.10028 [5] T. Satoh: Some remarks on triple L-functions (preprint) (1986). · Zbl 0607.10020 [6] J.-P. Serre: Une interpretation des congruences relatives a la f onction r de Ramanujan. Seminaire Delange-Pisot-Poitou, 1967-68, Exp. 14 (February 1968). · Zbl 0186.36902 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.