Results 31 to 40 of about 859 (203)

The m-extension of Fibonacci and Lucas p-difference sequences [PDF]

Filomat, 2019
In this paper we define the m-extension of Fibonacci and Lucas p-difference sequences by using the m-extension of Fibonacci and Lucas p-numbers. We investigate some properties of our new sequences and introduce some relations between the m-extension of Fibonacci and Lucas p-difference sequences and the m-extension of Fibonacci and Lucas p ...
Köme, Cahit, Yazlık, Yasin
openaire   +2 more sources

There are no multiply-perfect Fibonacci numbers [PDF]

, 2011
Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H., Togbe, Alain, Kevin A. Broughan, Huguet, V. Janitzio Mejia, Marcos J. González, Broughan, Kevin A., Luca, Florian, V. Janitzio Mejía Huguet, Ryan H. Lewis, Alain Togbé, Gonzalez, Marcos J., Florian Luca   +11 more
core   +1 more source

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]

, 2013
This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials.
Dunutrescu, C., Rocsoreanu, C.
core   +1 more source

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

Counting the sum of cubes for Lucas and Gibonacci numbers

Science and Technology Indonesia, 2019
Lucas and Gibonacci numbers are  two  sequences of numbers derived from a welknown numbers, Fibonacci numbers. The difference between Lucas and Fibonacci numbers only lies on the first and second elements.
Wamiliana Wamiliana, Suharsono Suharsono, Paustinus Edi Kristanto   +2 more
doaj   +1 more source

Algebraic divisibility sequences over function fields [PDF]

, 2011
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
Mahe, Valery, Ingram, Patrick, Valéry Mahé, Marco Streng, Streng, T.C., Patrick Ingram, Streng, Marco, Katherine E. Stange, Stange, K.E., Silverman, Joseph H., Mahé, V., Joseph H. Silverman, Silverman, J.H., Ingram, P., Stange, Katherine E.   +14 more
core   +2 more sources

k-Fibonacci and k-Lucas Differential Equations with New Spirals [PDF]

Mathematics Interdisciplinary Research
‎Fibonacci sequences and the spirals formed by employing them have found vast applications in creations and natural phenomena‎. ‎In this study‎, ‎new k-Fibonacci and k-Lucas differential equations are proposed‎.
Mehmet Pakdemirli, İhsan Dolapci
doaj   +1 more source

On Recursive Hyperbolic Fibonacci Quaternions

Communications in Advanced Mathematical Sciences, 2021
Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers.
Ahmet Daşdemir
doaj   +1 more source

On some links between the generalised Lucas pseudoprimes of level k

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Pseudoprimes are composite integers sharing behaviours of the prime numbers, often used in practical applications like public-key cryptography. Many pseudoprimality notions known in the literature are defined by recurrent sequences.
Andrica Dorin, Bagdasar Ovidiu, Rassias Michael Th.   +2 more
doaj   +1 more source

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source