Results 21 to 30 of about 702 (172)
On k-circulant matrices with the generalized third-order Pell numbers
, 2021 In this paper, we obtain explicit forms of the sum of entries, the maximum column sum matrix norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of k-circulant matrix with the generalized third-order Pell numbers.
Yüksel Soykan
core +1 more source
DLP–based cryptosystems with Pell cubics
, 2023 The classical Pell equation x 2−dy 2 = 1 can be extended to the cubic case considering the points (x, y, z) ∈ F 3 such that, for fixed r ∈ F, x 3 + ry 3 + r 2 z 3 − 3rxyz = 1.
Simone Dutto
core +1 more source
Padovan and Perrin numbers as products of two generalized Lucas numbers [PDF]
, 2023 summary:Let $P_m$ and $E_m$ be the $m$-th Padovan and Perrin numbers respectively. Let $r, s$ be non-zero integers with $r\ge 1$ and $s\in \lbrace -1, 1\rbrace $, let $\lbrace U_n\rbrace _{n\ge 0}$ be the generalized Lucas sequence given by $U_{n+2}=rU_ ...
Odjoumani, Japhet +2 more
core +1 more source
Hopf-Galois module structure of quartic Galois extensions of Q [PDF]
, 2022 © 2022 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Given a quartic Galois extension L/Q of number fields and a Hopf-Galois structure H on L/Q, we study the ...
Gil Muñoz, Daniel, Río Doval, Ana
core +1 more source
Generalized Pell-Padovan Numbers
Asian Journal of Advanced Research and Reports, 2020 In this paper, we investigate the generalized Pell-Padovan sequences and we deal with, in detail, four special cases, namely, Pell-Padovan, Pell-Perrin, third order Fibonacci-Pell and third order Lucas-Pell sequences. We present Binet’s formulas, generating functions, Simson formulas and the summation formulas for these sequences.
openaire +3 more sources
On a New One Parameter Generalization of Pell Numbers [PDF]
Annales Mathematicae Silesianae, 2019 Abstract In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r -Pell numbers. Moreover, we give a graph interpretation of these numbers.
openaire +3 more sources
Some interpretations of the $(k,p)$-Fibonacci numbers [PDF]
, 2021 summary:In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the $(k,p)$-Fibonacci numbers. We give some new interpretations of these numbers.
Paja, Natalia, Włoch, Iwona
core +1 more source
Convolutions of the generalized Pell and Pell-Lucas numbers
Filomat, 2016 We consider the convolution of the generalized Pell numbers-P(s) n,m and the convolution of the generalized Pell-Lucas numbers-Q(s) n,m. For s = 0, the sequence P(0) n,m represents the generalized Pell numbers Pn;m, and the sequence Q(0) n,m represents the generalized Pell-Lucas numbers Qn,m ([1], [2]). For m = 2 and s = 0, the numbers P(0)
openaire +1 more source
ON GENERALIZED (k, r) – GAUSS PELL NUMBERS
Journal of Science and Arts, 2021 We define the generalized (k, r) – Gauss Pell numbers by using the definition of a distance between numbers. Then we examine their properties and give some important identities for these numbers. In addition, we present the generating functions for these numbers and the sum of the terms of the generalized (k,r)- Gauss Pell numbers.
BAHAR KULOĞLU, ENGİN ÖZKAN
openaire +1 more source
Matrix Manipulations for Properties of Pell p -Numbers and their Generalizations [PDF]
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2020 Abstract In this paper, we define the Pell-Pell p -sequence and then we discuss the connection of the Pell-Pell p -sequence with Pell and Pell p -sequences.
Erdağ Özgür +2 more
openaire +2 more sources