Results 31 to 40 of about 218 (162)
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
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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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
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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
On Some Relationships Among Pell, Pell-Lucas and Modified Pell Sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2010 In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for these sequences, some relations among these sequences are obtained. Also, some sum formulas are given by these properties.
Serpil Halıcı, Ahmet Daşdemir
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On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
Journal of Inequalities and Applications, 2016 Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to be a n × n $n \times n$ r-circulant matrix. The entries in the first row of A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ are a i = P i
Ramazan Türkmen, Hasan Gökbaş
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Summing Formulas for Generalized Tribonacci Numbers
Universal Journal of Mathematics and Applications, 2020 In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results.
Yüksel Soykan
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Three Drivers of 21st‐Century Changes in Ocean Tides
Journal of Geophysical Research: Oceans, Volume 131, Issue 1, January 2026.Abstract Numerical model simulations are conducted to study the response of barotropic ocean tides to 21st‐century climate change, as manifested by sea level rise, increasing ocean stratification, and expanding Antarctic ice shelf cavities. Emphasis is placed on surface elevations, with projections of M2 ${\mathrm{M}}_{2}$, S2 ${\mathrm{S}}_{2}$, K1 ${\
Lana Opel +8 more
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
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
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