Serre, Jean-Pierre A course in arithmetic. Translation of ”Cours d’arithmetique”. 2nd corr. print. (English) Zbl 0432.10001 Graduate Texts in Mathematics, Vol. 7. New York, Heidelberg, Berlin: Springer-Verlag. IX, 115 p. $ 18.70; DM 34.00 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 16 Documents MSC: 11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory 12-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory 11E04 Quadratic forms over general fields 11E12 Quadratic forms over global rings and fields 11E08 Quadratic forms over local rings and fields 11E16 General binary quadratic forms 11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) 11M35 Hurwitz and Lerch zeta functions 11F11 Holomorphic modular forms of integral weight 11F03 Modular and automorphic functions 11F06 Structure of modular groups and generalizations; arithmetic groups Citations:Zbl 0225.12001; Zbl 0256.12001 PDFBibTeX XML Online Encyclopedia of Integer Sequences: Eisenstein series E_12(q) (alternate convention E_6(q)), multiplied by 691. Eisenstein series E_16(q) (alternate convention E_8(q)), multiplied by 3617. Eisenstein series E_20(q) (alternate convention E_10(q)), multiplied by 174611. Eisenstein series E_24(q) (alternate convention E_12(q)), multiplied by 236364091. Numerators of coefficients of Eisenstein series E_12(q) (or E_6(q) or E_24(q)). Eisenstein series E_18(q) (alternate convention E_9(q)), multiplied by 43867. Eisenstein series E_22(q) (alternate convention E_11(q)), multiplied by 77683.