Goss, David Basic structures of function field arithmetic. 2nd correct. printing. (English) Zbl 0892.11021 Berlin: Springer. xiii, 424 p. (1998). See the review of the first printing by M. Reversat in Zbl 0874.11004. Cited in 1 ReviewCited in 57 Documents MSC: 11G09 Drinfel’d modules; higher-dimensional motives, etc. 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11T55 Arithmetic theory of polynomial rings over finite fields 11T24 Other character sums and Gauss sums 11R58 Arithmetic theory of algebraic function fields Keywords:class numbers; gamma-functions; Ore polynomials; cyclic extensions; function fields having finite constant fields; extensions generated by torsion points; Galois structures of integers; T-motives; algebraic arithmetic of function fields; Carlitz module; Drinfeld modules; stukas; constructions of abelian extensions; abelian class field theory; \(L\)-functions; zeta-functions; zeta-function; Gauss sums; Jacobi sums Citations:Zbl 0292.12018; Zbl 0476.12010; Zbl 0346.14010; Zbl 0837.14018; Zbl 0607.14020; Zbl 0848.11029; Zbl 0874.11004 PDFBibTeX XMLCite \textit{D. Goss}, Basic structures of function field arithmetic. 2nd correct. printing. Berlin: Springer (1998; Zbl 0892.11021)