Serre, Jean-Pierre A course in arithmetic. (English) Zbl 0256.12001 Graduate Texts in Mathematics. 7. New York-Heidelberg-Berlin: Springer-Verlag. viii, 115 p. DM 21.10; $ 7.80 (1973). See the review of the French original [Paris: Presses Universitaires de France (1970)] in Zbl 0225.12002. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 489 Documents MSC: 12-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory Citations:Zbl 0225.12002 PDF BibTeX XML Digital Library of Mathematical Functions: §20.12(i) Number Theory ‣ §20.12 Mathematical Applications ‣ Applications ‣ Chapter 20 Theta Functions §20.7(viii) Transformations of Lattice Parameter ‣ §20.7 Identities ‣ Properties ‣ Chapter 20 Theta Functions §20.9(ii) Elliptic Functions and Modular Functions ‣ §20.9 Relations to Other Functions ‣ Properties ‣ Chapter 20 Theta Functions §20.9(i) Elliptic Integrals ‣ §20.9 Relations to Other Functions ‣ Properties ‣ Chapter 20 Theta Functions §22.18(iv) Elliptic Curves and the Jacobi–Abel Addition Theorem ‣ §22.18 Mathematical Applications ‣ Applications ‣ Chapter 22 Jacobian Elliptic Functions §23.15(i) General Modular Functions ‣ §23.15 Definitions ‣ Modular Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions §23.18 Modular Transformations ‣ Modular Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions §23.19 Interrelations ‣ Modular Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions §23.20(v) Modular Functions and Number Theory ‣ §23.20 Mathematical Applications ‣ Applications ‣ Chapter 23 Weierstrass Elliptic and Modular Functions