Tribonacci modulo p t

Jiří Klaška

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 3, page 267-288
  • ISSN: 0862-7959

Abstract

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Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus p and by its powers p t , which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.

How to cite

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Klaška, Jiří. "Tribonacci modulo $p^t$." Mathematica Bohemica 133.3 (2008): 267-288. <http://eudml.org/doc/250529>.

@article{Klaška2008,
abstract = {Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus $p$ and by its powers $p^t$, which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.},
author = {Klaška, Jiří},
journal = {Mathematica Bohemica},
keywords = {Tribonacci; modular periodicity; periodic sequence; Tribonacci; modular periodicity; periodic sequence},
language = {eng},
number = {3},
pages = {267-288},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Tribonacci modulo $p^t$},
url = {http://eudml.org/doc/250529},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Klaška, Jiří
TI - Tribonacci modulo $p^t$
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 3
SP - 267
EP - 288
AB - Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus $p$ and by its powers $p^t$, which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.
LA - eng
KW - Tribonacci; modular periodicity; periodic sequence; Tribonacci; modular periodicity; periodic sequence
UR - http://eudml.org/doc/250529
ER -

References

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  1. Elia, M., Derived sequences, the Tribonacci recurrence and cubic forms, The Fibonacci Quarterly 39.2 (2001), 107-115. (2001) Zbl1001.11008MR1829520
  2. Klaška, J., Tribonacci modulo 2 t and 11 t , (to appear) in Math. Bohem. 
  3. Klaška, J., Tribonacci partition formulas modulo m , Preprint (2007). (2007) MR2591606
  4. Sun, Z.-H., Sun, Z.-W., 10.4064/aa-60-4-371-388, Acta Arith. 60 (1992), 371-388. (1992) Zbl0725.11009MR1159353DOI10.4064/aa-60-4-371-388
  5. Vince, A., 10.4064/aa-39-4-303-311, Acta Arith. 39 (1981), 303-311. (1981) Zbl0396.12001MR0640918DOI10.4064/aa-39-4-303-311
  6. Waddill, M. E., Some properties of a generalized Fibonacci sequence modulo m , The Fibonacci Quarterly 16 4 (Aug. 1978) 344-353. Zbl0394.10007MR0514322
  7. Wall, D. D., 10.1080/00029890.1960.11989541, Amer. Math. Monthly 67 6 (1960), 525-532. (1960) Zbl0101.03201MR0120188DOI10.1080/00029890.1960.11989541

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