The distribution of second order linear recurrence sequences mod 2 m

Mark D. Morgan

Acta Arithmetica (1998)

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

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Mark 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

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

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