Tetration and p-adic

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Tetration and p-adic

Ember Edison Offline

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#24

03/01/2023, 03:59 AM (This post was last modified: 03/01/2023, 04:05 AM by Ember Edison.)

(02/19/2023, 01:58 PM)JmsNxn Wrote: EDIT:!!!!!

Okay, so I can't prove this. But I believe Marco has proven that:

\[
\lim_{N\to \infty}\,\,^N a = A \in \mathbb{Q}_p\\
\]

A (somewhat provocative) simple question: Evaluate A of

\[
a=0\in\mathbb{Q}_2, \lim_{N\to \infty}\,\,^N a = A \in \mathbb{Q}_2\\
\]

What is A? 0 or 1? and \( \mathbb{Q}_3,\mathbb{Q}_5,\mathbb{Q}_7 \)?

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Messages In This Thread

Tetration and p-adic - by Ember Edison - 02/11/2023, 08:58 PM

RE: Tetration and p-adic - by JmsNxn - 02/12/2023, 03:45 AM

RE: Tetration and p-adic - by Ember Edison - 02/12/2023, 10:49 AM

RE: Tetration and p-adic - by marcokrt - 02/14/2023, 04:33 AM

RE: Tetration and p-adic - by Ember Edison - 02/19/2023, 11:18 AM

RE: Tetration and p-adic - by JmsNxn - 02/19/2023, 12:10 PM

RE: Tetration and p-adic - by tommy1729 - 02/12/2023, 09:28 PM

RE: Tetration and p-adic - by marcokrt - 02/14/2023, 04:42 AM

RE: Tetration and p-adic - by JmsNxn - 02/14/2023, 05:17 AM