Definition:Terminal P-adic Expansion
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Definition
Let $p$ be a prime number.
A $p$-adic expansion $\ds \sum_{n \mathop = m}^\infty d_n p^n$ is terminal or terminates if and only if
- $\exists N \in \N: \forall n \ge N: d_n = 0$
Also see
Sources
- 2007: Svetlana Katok: p-adic Analysis Compared with Real ... (previous) ... (next): $\S 1.6$ The $p$-adic expansion of rational numbers: Exercise $34$