Results 51 to 60 of about 66,564 (179)

The Perfect Numbers of Pell Number

open access: yesJournal of Physics: Conference Series, 2019
For any positive integer n, let Pn, Qn denote the Pell sequence and Pell Lucas sequence respectively. The main purpose of this paper is using the elementary methods to study that Pn does not contain any even perfect numbers, Qn just contains one perfect ...
Ruiqin Fu, Hai Yang, Jing Wu
semanticscholar   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

open access: yesAdvances 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

Perfect powers in products of terms of elliptic divisibility sequences

open access: yes, 2016
Diophantine problems involving recurrence sequences have a long history and is an actively studied topic within number theory. In this paper, we connect to the field by considering the equation \begin{align*} B_mB_{m+d}\dots B_{m+(k-1)d}=y^\ell \end ...
Hajdu, Lajos   +2 more
core   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully   +2 more
wiley   +1 more source

Computational Framework for Numerical Simulation of Fractional‐Order Financial Crime Model via Lucas Collocation Technique

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady   +4 more
wiley   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk   +2 more
wiley   +1 more source

$k$-Pell-Lucas numbers as Product of Two Repdigits

open access: yes, 2022
15 ...
Tripathy, Bibhu Prasad   +1 more
openaire   +2 more sources

On certain bihypernomials related to Pell and Pell-Lucas numbers

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively.
SZYNAL-LIANA, Anetta   +2 more
openaire   +3 more sources

Fishing shapes cetacean population density patterns in the Mediterranean basin

open access: yesEcography, Volume 2025, Issue 12, December 2025.
Human impacts are forcing species towards marginal and suboptimal portions of their historical ranges. Cetaceans are now under protection, but are still threatened by fishing activities, which reduce fish stocks, alter their feeding behavior, and can cause mortality due to bycatch.
Davide Fundaro'   +2 more
wiley   +1 more source

Serendipity or strategy? The college housing search and inequality

open access: yesSociological Forum, Volume 40, Issue 4, Page 481-496, December 2025.
Abstract Housing arrangements provide the foundation for social life and interaction in college. However, we know little about how students locate housing opportunities. This study contributes to the literature on housing, search strategies, and class inequality during college by examining how students search for housing.
Virginia Riel, Olivia G. Ball
wiley   +1 more source

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