Generalization of a result of Hoggatt and Bergum on Fibonacci numbers
Morgado, José (1983-1984)
Portugaliae mathematica
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Displaying similar documents to “Unsolvability of the Pell minus-equation for certain odd discriminants”
Generalization of a result of Hoggatt and Bergum on Fibonacci numbers
Fibonacci numbers and Diophantine quadruples: generalizations of results of Morgado and Horadam
Shannon, A.G. (1988)
Portugaliae mathematica
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Pell’s Equation
Marcin Acewicz, Karol Pąk (2017)
Formalized Mathematics
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In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek...
On the property .
Tao, Liqun (2007)
Integers
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Lagrange, central norms, and quadratic Diophantine equations.
Mollin, R.A. (2005)
International Journal of Mathematics and Mathematical Sciences
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On the resolution of simultaneous Pell equations.
Szalay, László (2007)
Annales Mathematicae et Informaticae
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Some remarks on an identity of Catalan concerning the Fibonacci numbers
Morgado, José (1980)
Portugaliae mathematica
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The Diophantine equation .
Bapoungué, Lionel (2003)
International Journal of Mathematics and Mathematical Sciences
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On the diophantine equation
Stéphane Louboutin, M. F. Newman (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Note on some results of A.F. Horadam and A.G. Shannon concerning a Catalan's identity on Fibonacci numbers
Morgado, José (1987)
Portugaliae mathematica
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