Results 51 to 60 of about 616 (205)

Weak Pseudoprimality Associated with the Generalized Lucas Sequences [PDF]

, 2022
Pseudoprimes are composite integers which share properties of the prime numbers, and they have applications in many areas, as, for example, in public-key cryptography.
Andrica, D., Rassias, M.T., Bagdasar, O.
core   +1 more source

The Fibonacci numbers of certain subgraphs of circulant graphs

AKCE International Journal of Graphs and Combinatorics, 2015
The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo, Hortensia Galeana-Sánchez   +1 more
doaj   +1 more source

Melham's sums for some Lucas polynomial sequences [PDF]

Notes on Number Theory and Discrete Mathematics
A Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
doaj   +1 more source

On Generalized Jacobsthal and Jacobsthal–Lucas Numbers

Annales Mathematicae Silesianae, 2022
Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
doaj   +1 more source

A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
doaj   +1 more source

Device‐Independent Quantum Key Distribution: Protocols, Quantum Games and Security

IET Quantum Communication, Volume 7, Issue 1, January/December 2026.
Device‐independent quantum key distribution (DIQKD) removes the need to trust internal device behaviour by certifying security through Bell‐inequality violations, thereby closing practical loopholes in conventional QKD. This paper systematically reviews DIQKD foundations (Bell tests and security definitions), protocol frameworks (CHSH‐based and ...
Syed M. Arslan, Saif Al‐Kuwari, M. T. Rahim, Hashir Kuniyil   +3 more
wiley   +1 more source

Powers in the Lucas sequence when the index is divisible by three [PDF]

, 2011
In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier, López González, M. Dolores   +1 more
core   +1 more source

Lucas and Fibonacci numbers: properties and connections [PDF]

, 2023
O propósito deste trabalho é estudar as sequências de Fibonacci e de Lucas, explorando suas co-relações e semelhanças no contexto da Teoria dos Números. Para isso, utilizaremos como principal ferramenta o desenvolvimento teórico, através de demonstrações
Oliveira, Josué de Carvalho
core  

Generalized Fibonacci and Lucas sequences and rootfinding methods [PDF]

Mathematics of Computation, 1993
Consider the sequences { u n
openaire   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +1 more source