# The distribution of second order linear recurrence sequences mod ${2}^{m}$

Acta Arithmetica (1998)

- Volume: 83, Issue: 2, page 181-195
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topMark D. Morgan. "The distribution of second order linear recurrence sequences mod $2^m$." Acta Arithmetica 83.2 (1998): 181-195. <http://eudml.org/doc/207114>.

@article{MarkD1998,

author = {Mark D. Morgan},

journal = {Acta Arithmetica},

keywords = {Fibonacci numbers; Lucas numbers; linear recurring sequences; distribution; second order linear recurrence sequences mod ; periodic sequences},

language = {eng},

number = {2},

pages = {181-195},

title = {The distribution of second order linear recurrence sequences mod $2^m$},

url = {http://eudml.org/doc/207114},

volume = {83},

year = {1998},

}

TY - JOUR

AU - Mark D. Morgan

TI - The distribution of second order linear recurrence sequences mod $2^m$

JO - Acta Arithmetica

PY - 1998

VL - 83

IS - 2

SP - 181

EP - 195

LA - eng

KW - Fibonacci numbers; Lucas numbers; linear recurring sequences; distribution; second order linear recurrence sequences mod ; periodic sequences

UR - http://eudml.org/doc/207114

ER -

## References

top- [1] R. P. Brent, On the periods of generalized Fibonacci recurrences, Math. Comp. 63 (1994), 207. Zbl0809.11083
- [2] W. Carlip and E. Jacobson, A criterion for stability of two-term recurrence sequences modulo ${2}^{k}$, Finite Fields Appl. 2 (1996), 369-406. Zbl0924.11007
- [3] W. Carlip and E. Jacobson, Unbounded stability of two-term recurrence sequences modulo ${2}^{k}$, Acta Arith. 74 (1996), 329-346.
- [4] E. Jacobson, Distribution of the Fibonacci numbers mod ${2}^{k}$, Fibonacci Quart. 30 (1992), 211-215. Zbl0760.11007
- [5] L. Kuipers and J. Shiue, A distribution property of the sequence of Fibonacci numbers, Fibonacci Quart. 10 (1972), 375-376. Zbl0249.10025
- [6] H. Niederreiter, Distribution of Fibonacci numbers mod ${5}^{k}$, Fibonacci Quart. 10 (1972), 373-374. Zbl0249.10026

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