| Title:
|
Tribonacci modulo $2^t$ and $11^t$ (English) |
| Author:
|
Klaška, Jiří |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
377-387 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our previous research was devoted to the problem of determining the primitive periods of the sequences $(G_n\mod p^t)_{n=1}^{\infty }$ where $(G_n)_{n=1}^{\infty }$ is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime $p\ne 2,11$. In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes $p=2,11$. (English) |
| Keyword:
|
Tribonacci |
| Keyword:
|
modular periodicity |
| Keyword:
|
periodic sequence |
| MSC:
|
11B39 |
| MSC:
|
11B50 |
| idZBL:
|
Zbl 1174.11022 |
| idMR:
|
MR2472486 |
| DOI:
|
10.21136/MB.2008.140627 |
| . |
| Date available:
|
2010-07-20T17:38:20Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140627 |
| . |
| Reference:
|
[1] Klaška, J.: Tribonacci modulo $p^t$.Math. Bohem. 133 (2008), 267-288. MR 2494781 |
| Reference:
|
[2] Vince, A.: Period of a linear recurrence.Acta Arith. 39 (1981), 303-311. Zbl 0396.12001, MR 0640918, 10.4064/aa-39-4-303-311 |
| Reference:
|
[3] Waddill, M. E.: Some properties of a generalized Fibonacci sequence modulo $m$.The Fibonacci Quarterly 16 (Aug. 1978) 344-353. Zbl 0394.10007, MR 0514322 |
| . |
