On the injective embedding of \(p\)-adic integers in the Cartesian product of \(p\) copies of sets of 2-adic integers. (English) Zbl 1470.11308
Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 233-239 (2019).
Summary: We study an injective embedding of \(p\)-adic integers in the Cartesian product of \(p\) copies of sets of 2-adic integers. This embedding allows to explicitly specify any \(p\)-adic integer through \(p\) specially selected 2-adic numbers. This representation can be used in \(p\)-adic mathematical physics, for example, in justifying choice of the parameter \(p\).
For the entire collection see [Zbl 1415.35004].
For the entire collection see [Zbl 1415.35004].
MSC:
| 11S99 | Algebraic number theory: local fields |
