On the distance between generalized Fibonacci numbers
Jhon J. Bravo; Carlos A. Gómez; Florian Luca
Colloquium Mathematicae (2015)
- Volume: 140, Issue: 1, page 107-118
- ISSN: 0010-1354
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topJhon J. Bravo, Carlos A. Gómez, and Florian Luca. "On the distance between generalized Fibonacci numbers." Colloquium Mathematicae 140.1 (2015): 107-118. <http://eudml.org/doc/283453>.
@article{JhonJ2015,
abstract = {For an integer k ≥ 2, let $(Fₙ^\{(k)\})ₙ$ be the k-Fibonacci sequence which starts with 0,..., 0,1 (k terms) and each term afterwards is the sum of the k preceding terms. This paper completes a previous work of Marques (2014) which investigated the spacing between terms of distinct k-Fibonacci sequences.},
author = {Jhon J. Bravo, Carlos A. Gómez, Florian Luca},
journal = {Colloquium Mathematicae},
keywords = {generalized Fibonacci numbers; linear forms in logarithms; Sidon sets},
language = {eng},
number = {1},
pages = {107-118},
title = {On the distance between generalized Fibonacci numbers},
url = {http://eudml.org/doc/283453},
volume = {140},
year = {2015},
}
TY - JOUR
AU - Jhon J. Bravo
AU - Carlos A. Gómez
AU - Florian Luca
TI - On the distance between generalized Fibonacci numbers
JO - Colloquium Mathematicae
PY - 2015
VL - 140
IS - 1
SP - 107
EP - 118
AB - For an integer k ≥ 2, let $(Fₙ^{(k)})ₙ$ be the k-Fibonacci sequence which starts with 0,..., 0,1 (k terms) and each term afterwards is the sum of the k preceding terms. This paper completes a previous work of Marques (2014) which investigated the spacing between terms of distinct k-Fibonacci sequences.
LA - eng
KW - generalized Fibonacci numbers; linear forms in logarithms; Sidon sets
UR - http://eudml.org/doc/283453
ER -
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