Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory
Copyright policy ) Ax, James; Kochen, Simon;
Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory
field, ord (p) = 1, and satisfying the Hensel-Rychlik property. We call any valued field satisfying these properties a formally p-adic field. We shall see that these properties characterize Q, in the sense that an elementary statement is valid in Qp if and only if it is valid in every formally p-adic
Decidability (number-theoretic aspects), \(p\)-adic and power series fields, number theory, Formally \(p\)-adic fields, Algebraic number theory: local fields
Decidability (number-theoretic aspects), \(p\)-adic and power series fields, number theory, Formally \(p\)-adic fields, Algebraic number theory: local fields
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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