[aomix]

No comment on the article it's just always interesting to get hit with intense jargon from a field I know very little about.

I understood the statements of all five questions. I could do the third one relatively quickly (I had seen the trick before that the function mapping a natural n to alpha^n was p-adically continuous in n iff the p-adic valuation of alpha-1 was positive)

[gldjmp]

Haha, the thing about jargon is that is typically hiding something not so bad. (At least in this case, the solution is something you could explain to a high-schooler).