Pell equation: A generalization of continued fraction and Chakravala algorithms using the LLL-algorithm [PDF]
We introduce a generalization of the continued fraction and Chakravala algorithms for solving the Pell equation, utilizing the LLL-algorithm for rank 2 ...
Liberati, Jose I.
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Simultaneous integer sequences and solving the pell equation [PDF]
, 2016 Let k ? 1 be a fixed integer. In this work, we set two simultaneous integer sequences defined by Xn = (4k2 + 1)Xn-1 + (4k2 + 1)Xn-2 - Xn-3 and Yn = (4k2 + 1)Yn-1 + (4k2 + 1)Yn-2 - Yn-3 for n ?
Özkoç, Arzu
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The Pell and Pell-Lucas Numbers via Square Roots of Matrices [PDF]
, 2016 In this paper, the Pell and Pell-Lucas numbers with specialized rational subscripts are derived from general expressions by square roots of the matrices M-n and N-n.
Arslan, Saadet, Koken, Fikri
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Solving pell's equation using continued fractions [PDF]
, 2019 A Dissertation Submitted to the Faculty of Science at The University of Witwatersrand to fulfillment of the Requirements for the Degree of Master of Science School of Mathematics March 2019The aim of this dissertation is to explore the Pell equation,
Matibe, Vhuhwavho
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Simultaneous Pell equations x2 - my2 = 1 and y2 - pz2 = 1 [PDF]
, 2017 Pell equation is a special type of Diophantine equations of the form x2 − my2 = 1, where m is a positive non-square integer. Since m is not a perfect square, then there exist infinitely many integer solutions (x, y) to the Pell equation.
Sihabudin, Nurul Amirah +2 more
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Pell Equation. V. Systematic relation between the Pythagorean triples and Pell equations [PDF]
, 2008 Systematic relations between the algebra of the Pell equations, x^2 - Dy^2 = 1 (called Pell-1) and x^2 - Dy^2 = -1 (called Llep-1), and the geometry of Pythagorean triangles or Pythagorean triples (PTs) are discussed. Although Llep-1 is solvable only for
Hosoya, haruo, ホソヤ, ハルオ
core
Potencias perfectas en soluciones a las ecuaciones de Pell [PDF]
, 2009 . In this paper, we study the appearance of perfect powers in the first component of a non-minimal solution of a Pell equation. We give an upper bound on the counting function of the positive integers n having the property that some power of it (of ...
Chakraborty, Kalyan, Luca, Florian
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Validating the SMART2 Score in a Racially Diverse High-Risk Nationwide Cohort of Patients Receiving Coronary Artery Bypass Grafting. [PDF]
J Am Heart Assoc, 2023 Deo SV +10 more
europepmc +1 more source
Educational and employment outcomes associated with childhood traumatic brain injury in Scotland: A population-based record-linkage cohort study. [PDF]
PLoS Med, 2023 Visnick MJ +5 more
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