By the same authors

Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution



Publication details

Title of host publicationTopology, Ergodic Theory, Real Algebraic Geometry
DatePublished - 2001
Number of pages20
Original languageEnglish

Publication series

NameTranslations-Series 2, Advances in the Mathematical Sciences
PublisherAmerican Mathematical Society
ISSN (Print)0065-9290


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.

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