Results 11 to 20 of about 1,234,888 (203)

Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2006
We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve.
Vladimir P. Burskii, Alexei S. Zhedanov
doaj   +3 more sources

Solutions to a generalized Pell equation [PDF]

open access: yes, 2012
This study aims to extend the notion of continued fractions to a new field Q (x)*, in order to find solutions to generalized Pell\u27s Equations in Q [x] .
Castro, Kyle Christopher
core   +7 more sources

Genealogies. Carícies de pell girada [PDF]

open access: yes, 2017
La pell girada és un cuir treballat per la part de la carn, des de l'interior. Suau al tacte, endurida a l'arrel. Amb aquesta coartada, l'exposició presenta peces d'alumnes passats i presents de la Facultat de Belles Arts de la Universitat de Barcelona ...
Méndez, Tatiana   +11 more
core   +5 more sources

Pell Equation. I. Systematic classification of the solutions of the Pell equation

open access: yesPell Equation. I. Systematic classification of the solutions of the Pell equation
application/pdf 紀要論文 Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pell equations for D were systematically classified into several types with respect to the form of the polynomial relations (PR's) among (D, x_1, y_1). The key strategies for this analysis are the value of y_1 and form of the continued
Hosoya, Haruo   +3 more
openaire   +2 more sources

Security Issues of Novel RSA Variant

open access: yesIEEE Access, 2022
The RSA is one of the current default cryptosystems that provides security with applications such as encryptions and digital signatures. It is important to further study the weak characteristics of the RSA to ensure correct utilisation in order not to be
Abderrahmane Nitaj   +4 more
doaj   +1 more source

Polynomial Pell’s equation [PDF]

open access: yesProceedings of the American Mathematical Society, 2002
Consider the polynomial Pell’s equation X 2 −
Webb, William A., Yokota, Hisashi
openaire   +2 more sources

Fermat and Mersenne numbers in $k$-Pell sequence

open access: yesМатематичні Студії, 2021
For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
doaj   +1 more source

On some new results for the generalised Lucas sequences

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits ...
Andrica Dorin   +2 more
doaj   +1 more source

Simultaneous Pell equations

open access: yesMathematics of Computation, 1996
Let R R and S
Rickert, John, Masser, D.W.
openaire   +5 more sources

Lucas sequences and repdigits [PDF]

open access: yesMathematica Bohemica, 2022
Let $(G_n)_{n \geq1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are $\{U_n\}$ and $\{V_n\}$, respectively.
Hayder Raheem Hashim, Szabolcs Tengely
doaj   +1 more source

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