Results 41 to 50 of about 3,822 (183)
Tribonacci and Tribonacci-Lucas Sedenions
, 2018 The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Copper ratio obtained by generalizing the Fibonacci sequence
AIP AdvancesIn this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
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Gaussian Generalized Tetranacci Numbers
, 2019 In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their ...
Soykan, Yüksel
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Bi-periodic $r$-Fibonacci sequence and bi-periodic $r$-Lucas sequence of type $s$
Hacettepe Journal of Mathematics and Statistics, 2022 In the present paper, for a positive integer $r$, we study bi-periodic $r$-Fibonacci sequence and its family of companion sequences, bi-periodic $r$-Lucas sequence of type $s$ with $1 \leq s \leq r$, which extend the classical Fibonacci and Lucas sequences.
Nacima Rosa AIT-AMRANE +1 more
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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 +3 more
wiley +1 more source
New generalizations of Fibonacci and Lucas sequences
Applied Mathematical Sciences, 2014 We consider the sequences { } and { } which are generated by the recurrence relations ( ) and ( ) with the initial conditions and where a and b are any non – zero real numbers. We obtain generating functions, Binet formulas for these two sequences and give generalizations of some well – known identities.
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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 +3 more
wiley +1 more source
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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Lucas sequence, its properties and generalisation [PDF]
, 2013 Fibonacci AND Lucas sequences are most interesting among recurrent sequences.
Barik, Biswajit
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