Results 41 to 50 of about 9,774,386 (178)
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 +2 more
wiley +1 more source
Vieta-Pell and Vieta-Pell-Lucas polynomials [PDF]
, 2013 In the present paper, we introduce the recurrence relation of Vieta-Pell and Vieta-Pell-Lucas polynomials. We obtain the Binet form and generating functions of Vieta-Pell and Vieta-Pell-Lucas polynomials and define their associated sequences.
Dursun Tasci +3 more
core +1 more source
GENERALIZATION OF PELL SEQUENCE AND PELL-LUCAS SEQUENCE, NEW RESULTS AND CIRCULANT MATRICES ASPECTS [PDF]
Some generalizations of Pell sequence and Pell-Lucas sequence, namely, (k,h)-Pell sequence and (k,h)-Pell-Lucas sequence are considered in this paper. We obtain generating functions, some identities and formulas for the sums of a finite number of terms ...
Jafari Petroudi, Seyyed Hossein +1 more
core +2 more sources
Unrestricted Pell and Pell – Lucas 2N-ons
, 2022 In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call ...
Öznur BAYRAKÇI ÖZSOY +4 more
core +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
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
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 +2 more
wiley +1 more source
Pell–Lucas diffractive lenses for trifocal multi-trap optical tweezers
JPhys PhotonicsIn 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 +5 more
doaj +1 more source
Miskolc Mathematical NotesIn 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
Dual-Gaussian Pell and Pell-Lucas numbers
Cumhuriyet Science Journal, 2022 In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell and Pell-Lucas numbers.
openaire +2 more sources