Results 31 to 40 of about 9,126,608 (179)

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  

Multiplicatively dependent integer vectors on a hyperplane

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya   +2 more
wiley   +1 more source

Gaussian Pell-Lucas polynomials [PDF]

, 2019
Yağmur, Tülay ( Aksaray, Yazar )In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence.
Yağmur, Tülay
core   +1 more source

k-Pell, k-Pell–Lucas and modified k-Pell sedenions [PDF]

, 2019
The aim of this work is to present the k-Pell, the k-Pell–Lucas and the Modified k-Pell sedenions and we give some properties involving these sequences, including the Binet-style formulae and the ordinary generating ...
Catarino, Paula
core   +3 more sources

A NOTE ON BIGAUSSIAN PELL AND PELL-LUCAS NUMBERS

Journal of Science and Arts, 2021
In this study, we define a new type of Pell and Pell-Lucas numbers which are called biGaussian Pell and biGaussian Pell-Lucas numbers. We also give the relationship between negabiGaussian Pell and Pell-Lucas numbers and bicomplex Pell and Pell-Lucas numbers.
openaire   +1 more source

Diophantine tuples and product sets in shifted powers

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Gaussian Pell and Gaussian Pell-Lucas Quaternions

, 2021
The main aim of this work is to introduce the Gaussian Pell quaternion QGp(n) and Gaussian Pell-Lucas quaternion OGq(n), where the components of QGp(n) and QGq(n) are Pell numbers p(n) and Pell-Lucas numbers q(n), respectively.
ARSLAN, HASAN
core   +1 more source

On the Balancing-bilinear system of difference equations: solutions via some number sequences and global stability

Miskolc Mathematical Notes
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj   +1 more source

Acoustic Features of Emotional Vocalizations Account for Early Modulations of Event‐Related Brain Potentials

Psychophysiology, Volume 63, Issue 2, February 2026.
ABSTRACT Emotion is key to human communication, and inferring emotion in a speaker's voice is a cross‐cultural and cross‐linguistic capability. Electroencephalography (EEG) studies of neural mechanisms supporting emotion perception have reported that early components of the event‐related potential (ERP) are modulated by emotion.
Yichen Tang, Paul M. Corballis, Luke E. Hallum   +2 more
wiley   +1 more source

Pell–Lucas diffractive lenses for trifocal multi-trap optical tweezers

JPhys Photonics
In this work, we introduce a new family of trifocal diffractive lenses based on the Pell–Lucas number sequence. Two phase configurations are considered: binary-phase and kinoform-type.
Arlen B Pérez-Hernández, Juan C Castro-Palacio, Emilio Sánchez-Ortiga, Walter D Furlan, Juan A Monsoriu, Francisco M Muñoz-Pérez   +5 more
doaj   +1 more source