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Solutions of Two Diophantine Equations
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Suppose that the sequences {Pi}i≥0, {Ri}i≥0, and {Ji}i≥0 correspond to the Padovan numbers, Perrin numbers, and Jacobsthal num bers, respectively. In this paper, we determine all Padovan and Perrin numbers that can be written as the sum of two Jacobsthal numbers by ap plying Baker’s method for linear forms in logarithms, combined with the reduction technique of Dujella and Peth˝o.
Department of Mathematics, University of the Punjab
Title: Solutions of Two Diophantine Equations
Description:
Suppose that the sequences {Pi}i≥0, {Ri}i≥0, and {Ji}i≥0 correspond to the Padovan numbers, Perrin numbers, and Jacobsthal num bers, respectively.
In this paper, we determine all Padovan and Perrin numbers that can be written as the sum of two Jacobsthal numbers by ap plying Baker’s method for linear forms in logarithms, combined with the reduction technique of Dujella and Peth˝o.
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