Stevens, Glenn Arithmetic on modular curves. (English) Zbl 0529.10028 Progress in Mathematics, 20. Boston-Basel-Stuttgart: Birkhäuser. XVII, 214 p. DM 42.00 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 33 Documents MSC: 11F11 Holomorphic modular forms of integral weight 11-02 Research exposition (monographs, survey articles) pertaining to number theory 14H25 Arithmetic ground fields for curves 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14G25 Global ground fields in algebraic geometry 14G20 Local ground fields in algebraic geometry 11R42 Zeta functions and \(L\)-functions of number fields 11S40 Zeta functions and \(L\)-functions 11F33 Congruences for modular and \(p\)-adic modular forms 11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Keywords:modular forms; modular curves; period of cusp form; homology group with cusp support; cuspidal divisor group; Eisenstein series; congruences; Eisenstein ideal; congruence between two p-adic L-functions; tables of algebraic parts Citations:Zbl 0079.103; Zbl 0403.12007; Zbl 0495.12007; Zbl 0426.14009; Zbl 0281.14016; Zbl 0412.10019; Zbl 0422.10016 PDF BibTeX XML OpenURL