Corpus ID: 220301606

Divisibility properties of factors of the discriminant of generalized Fibonacci numbers

@article{Li2020DivisibilityPO,
  title={Divisibility properties of factors of the discriminant of generalized Fibonacci numbers},
  author={Y. Li},
  journal={arXiv: Number Theory},
  year={2020}
}
  • Y. Li
  • Published 2020
  • Mathematics
  • arXiv: Number Theory
We study some divisibility properties related to the factors of the discriminant of the characteristic polynomial of generalized Fibonacci sequences $(G_n)_{n\ge0}$ defined by $G_0=0$, $G_1=1$ and $G_n=pG_{n-1}+qG_{n-2}$ for $n\ge2$, where $p,q$ are given integers. As corollaries, we give some divisibility properties on some well known sequences. 

References

SHOWING 1-10 OF 24 REFERENCES
A DISTRIBUTION PROPERTY OF THE SEQUENCE OF FIBONACCI NUMBERS
  • 7
  • Highly Influential
  • PDF
On the Fibonacci k-numbers
  • 226
Divisibility of Terms in Lucas Sequences by Their Subscripts
  • 23
The Terms in Lucas Sequences Divisible by Their Indices
  • 22
  • PDF
On the Sum of Powers of Two k-Fibonacci Numbers which Belongs to the Sequence of k-Lucas Numbers
  • 3
  • PDF
The law of apparition of primes in a Lucasian sequence
  • 10
  • Highly Influential
  • PDF
Uniform distribution of linear recurring sequences modulo prime powers
  • Tamás Herendi
  • Computer Science, Mathematics
  • Finite Fields Their Appl.
  • 2004
  • 9
On k-Fibonacci numbers of arithmetic indexes
  • 50
  • PDF
...
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2
3
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