Results 11 to 20 of about 661 (172)
Polynomial Pell’s equation [PDF]
Proceedings of the American Mathematical Society, 2002 Consider the polynomial Pell’s equation X 2 −
Webb, William A., Yokota, Hisashi
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Fermat and Mersenne numbers in $k$-Pell sequence
Математичні 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
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On some new results for the generalised Lucas sequences
Analele 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
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Lucas sequences and repdigits [PDF]
Mathematica 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
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Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1
Ratio Mathematica, 2023 An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects a public key cryptosystem’s security. The technique for coding and decoding the messages was described in this work,
Janaki G, Gowri Shankari A
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Some Criteria for Class Numbers to Be Non-One
Journal of Mathematics, 2020 Let d be a positive integer which is not a perfect square and n be any nonzero fixed integer. Then, the equation x2−dy2=n is known as the general Pell equation. In this paper, we give some criteria for class numbers of certain real quadratic fields to be
Ahmad Issa, Hasan Sankari
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Polynomial Pell's Equations [PDF]
Proceedings of the American Mathematical Society, 1976 The polynomial Pell’s equation is P 2
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Journal of Taibah University for Science, 2020 Our aim in this article is to present a collocation method to solve two population models for single and interacting species. For this, logistic growth model and prey–predator model are examined.
Şuayip Yüzbaşı, Gamze Yıldırım
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Elemente der Mathematik, 2004 The classic problem of Diophantine approximations consists in discovering good rational-\-numbered approximations of quadratic irrationalities of the form \(\sqrt d\), where \(d\) is a square-free natural number. This problem leads to the Pell equation \(x^2 - dy^2 = 1\) in whole integers \(x, y\). It turns out that you can acquire all solutions from a
Dubickas, Artūras, Steuding, Jörn
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