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

Zaq Coelho; William Parry

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

Zaq Coelho, William Parry

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

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.

Original language	English
Title of host publication	Topology, Ergodic Theory, Real Algebraic Geometry
Subtitle of host publication	Rokhlin's Memorial
Pages	51-70
Number of pages	20
Volume	202
Publication status	Published - 2001

Publication series

Name	Translations-Series 2, Advances in the Mathematical Sciences
Publisher	American Mathematical Society
Volume	202
ISSN (Print)	0065-9290

Access to Document

http://www.ams.org/bookstore?fn=20&arg1=trans2series&ikey=TRANS2-202

Cite this

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title = "Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers",

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.",

author = "Zaq Coelho and William Parry",

year = "2001",

language = "English",

isbn = "978-0-8218-2740-6",

volume = "202",

series = "Translations-Series 2, Advances in the Mathematical Sciences",

publisher = "American Mathematical Society",

pages = "51--70",

booktitle = "Topology, Ergodic Theory, Real Algebraic Geometry",

}

Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers. / Coelho, Zaq; Parry, William.
Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial. Vol. 202 2001. p. 51-70 (Translations-Series 2, Advances in the Mathematical Sciences; Vol. 202).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

TY - CHAP

T1 - Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers

AU - Coelho, Zaq

AU - Parry, William

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

M3 - Other chapter contribution

SN - 978-0-8218-2740-6

VL - 202

T3 - Translations-Series 2, Advances in the Mathematical Sciences

SP - 51

EP - 70

BT - Topology, Ergodic Theory, Real Algebraic Geometry

ER -