Two divisors of $(n^2+1)/2$ summing up to $n+1$

Mohamed Ayad; Florian Luca

Displaying similar documents to “Two divisors of $(n^{2} + 1) / 2$ summing up to $n + 1$ ”

On some Diophantine equations. I.

Savin, Diana (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Almost powers in the Lucas sequence

Yann Bugeaud, Florian Luca, Maurice Mignotte, Samir Siksek (2008)

Journal de Théorie des Nombres de Bordeaux

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The famous problem of determining all perfect powers in the Fibonacci sequence ${(F_{n})}_{n \geq 0}$ and in the Lucas sequence ${(L_{n})}_{n \geq 0}$ has recently been resolved []. The proofs of those results combine modular techniques from Wiles’ proof of Fermat’s Last Theorem with classical techniques from Baker’s theory and Diophantine approximation. In this paper, we solve the Diophantine equations $L_{n} = q^{a} y^{p}$ , with $a > 0$ and $p \geq 2$ , for all primes $q < 1087$ and indeed for all but $13$ primes $q < 10^{6}$ . Here the strategy of [] is not sufficient due to the sizes...

On $D$ so that $x^{2} - D y^{2} = \pm m$ .

Robertson, John P. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Homoroot integer numbers.

Hooshmand, M.H. (2010)

Acta Mathematica Universitatis Comenianae. New Series

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A note on linear perturbations of oscillatory second order differential equations

Renato Manfrin (2010)

Archivum Mathematicum

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Under suitable hypotheses on $γ (t)$ , $λ (t)$ , $q (t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^{''} + γ (t) u^{'} + (q (t) + λ (t)) u = 0$ to the asymptotic behavior of the solutions of $u^{''} + q (t) u = 0$ .

On determination of two time-dependent coefficients in a parabolic equation.

Ivanchov, N.I., Pabyrivska, N.V. (2002)

Sibirskij Matematicheskij Zhurnal

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Integro-local and integral limit theorems on the large deviations of sums of random vectors: Regular distributions.

Borovkov, A.A. (2002)

Sibirskij Matematicheskij Zhurnal

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Nonlinear stationary surface waves above an underwater ridge.

Kuznetsov, D.S. (2002)

Sibirskij Matematicheskij Zhurnal

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On $D$ sot hat $x^{2} - D y^{2}$ represents $m$ and $- m$ and not $- 1$ .

Robertson, John P. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Displaying similar documents to “Two divisors of ( n 2 + 1 ) / 2 summing up to n + 1 ”

Displaying similar documents to “Two divisors of $(n^{2} + 1) / 2$ summing up to $n + 1$ ”