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Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers
Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution
Author(s)
Department/unit(s)
Publication details
| Title of host publication | Topology, Ergodic Theory, Real Algebraic Geometry |
|---|---|
| Date | Published - 2001 |
| Pages | 51-70 |
| Number of pages | 20 |
| Volume | 202 |
| Original language | English |
Publication series
| Name | Translations-Series 2, Advances in the Mathematical Sciences |
|---|---|
| Publisher | American Mathematical Society |
| Volume | 202 |
| ISSN (Print) | 0065-9290 |
Abstract
We characterise ergodicity of p-adic multiplication on the units of Zp
where p is an odd prime. We do the same for the subgroup of units of Zp(pD) of
norm ±1, when D is not a square in Zp. These results are then applied to give a
complete description of the distribution mod pk of the Fibonacci numbers.
where p is an odd prime. We do the same for the subgroup of units of Zp(pD) of
norm ±1, when D is not a square in Zp. These results are then applied to give a
complete description of the distribution mod pk of the Fibonacci numbers.
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