Hi all,
This is my first post on this wonderful place and I have to confess I'm feeling like a kid in the playground.
I've just published a quite simple book (in Italian) about integer tetration. It's mainly focused on its ending digits (perfect p-adic convergence, regular displacements of the most important constrained digits, and so on), plus some related topics.
It's possible to read the first (introductive) chapter online: http://www.uni-service.it/images/stories...review.pdf
The required skill level is quite low (high school proficiency), but I hope it could be a nice amusement for recreational math lovers.
All the best,
Marco
This is my first post on this wonderful place and I have to confess I'm feeling like a kid in the playground.
I've just published a quite simple book (in Italian) about integer tetration. It's mainly focused on its ending digits (perfect p-adic convergence, regular displacements of the most important constrained digits, and so on), plus some related topics.
It's possible to read the first (introductive) chapter online: http://www.uni-service.it/images/stories...review.pdf
The required skill level is quite low (high school proficiency), but I hope it could be a nice amusement for recreational math lovers.
All the best,
Marco
For every radix \(r\geq 2\), the congruence speed of tetration stabilizes at a positive constant for all bases \(a>1\) with \(\mathrm{rad}(r )\nmid a\) if and only if \(r\) is squarefree. (NNTDM 32(3), Appendix B)
