Ohta, Masami On the zeta function of an Abelian scheme over the Shimura curve. (English) Zbl 0527.10023 Jap. J. Math., New Ser. 9, 1-25 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 11F12 Automorphic forms, one variable 14K15 Arithmetic ground fields for abelian varieties 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) 11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Keywords:Hamilton quaternion algebra; Eichler-Shimura cohomology groups; l-adic cohomology groups; Hasse-Weil zeta function; l-adic representations; Ramanujan-Petersson conjecture; automorphic forms; Shimura curves Citations:Zbl 0505.10012 PDFBibTeX XMLCite \textit{M. Ohta}, Jpn. J. Math., New Ser. 9, 1--25 (1983; Zbl 0527.10023)