Ax, James; Kochen, Simon Diophantine problems over local fields. I. II: A complete set of axioms for \(p\)-adic number theory. (English) Zbl 0136.32805 Am. J. Math. 87, 605-630, 631-648 (1965). Reviewer: B. J. Birch Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 84 Documents MSC: 11D88 \(p\)-adic and power series fields 11U05 Decidability (number-theoretic aspects) 12J12 Formally \(p\)-adic fields 11Sxx Algebraic number theory: local and \(p\)-adic fields Keywords:number theory PDF BibTeX XML Cite \textit{J. Ax} and \textit{S. Kochen}, Am. J. Math. 87, 605--630, 631--648 (1965; Zbl 0136.32805) Full Text: DOI