Results 11 to 20 of about 36 (34)

Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results

Annals of the West University of Timisoara: Mathematics and Computer Science
Zeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. In this paper, we applied the linear forms in logarithms to the Zeckendorf representation of the Tribonacci-Lucas sequences to find ...
Ousseni Awaou Lare, Odjoumani Japhet, Degla Guy   +2 more
doaj   +1 more source

Narayana Numbers With Zeckendorf Partition in Two Terms

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani, Salifou Nikiema, Shikha Binwal   +2 more
wiley   +1 more source

On the number of solutions of the diophantine equation x2 + 2a - pb = y4

, 2015
Let p be a fixed odd prime. In this paper, we study the integer solutions (x, y, a, b) of the equation x2 +2a · pb = y4; gcd(x, y) = 1, x > 0; y > 0; a ≥ 0; b ≥ 0, and we derive upper bounds for the number of such solutions.AMS 2010 Subject Classifcation:
Soydan G., Le M., Zhu H.
core  

Padovan numbers which are concatenations of three repdigits

, 2022
Prasanta Kumar Ray, Kisan Bhoi
core   +1 more source

Repdigits Base b as Products of Two Lucas Numbers

Quaestiones Mathematicae, 2021
Zafer Siar, Refik Keskin
exaly  

The Diophantine Equation a^(x) + b^(y) = c^(z)

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1994
Nobuhiro Terai
exaly  

Moser's Mathemagical Work on the Equation 1^(k)+2^(k)+⋯+(m-1)^(k)=m^(k)

Rocky Mountain Journal of Mathematics, 2013
Pieter Moree
exaly  

On the Number of Solutions of x^(p^(k))=a in a p-Group

Illinois Journal of Mathematics, 1988
T Y Lam
exaly  

The Diophantine Equation a^(x) + b^(y) = c^(z) , III

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1996
Nobuhiro Terai
exaly  

On a Diophantine Equation of Erdös

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1994
Nobuhiro Terai
exaly