Some remarks on an identity of Catalan concerning the Fibonacci numbers
Morgado, José (1980)
Portugaliae mathematica
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Morgado, José (1980)
Portugaliae mathematica
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Deshpande, M.N. (1998)
Portugaliae Mathematica
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Horadam, A.F. (1987)
Portugaliae mathematica
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Morgado, José (1987)
Portugaliae mathematica
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Morgado, José (1991)
Portugaliae mathematica
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Shannon, A.G. (1988)
Portugaliae mathematica
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Horadam, A.F., Shannon, A.G. (1987)
Portugaliae mathematica
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A. Bremner, N. Tzanakis (2007)
Acta Arithmetica
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Tomohiro Yamada (2005)
Colloquium Mathematicae
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We show that there is an effectively computable upper bound of odd perfect numbers whose Euler factors are powers of fixed exponent.
F. Latoon
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Gerhard A. Bachmaier (2007)
Acta Arithmetica
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Michael A. Bennett (2002)
Acta Arithmetica
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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...