$X$-coordinates of Pell equations as sums of two tribonacci numbers
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Publication:1715020
DOI10.1007/s10998-017-0226-8zbMath1424.11036OpenAlexW2766482327MaRDI QIDQ1715020
Eric F. Bravo, Carlos Alexis Gómez Ruiz, Florian Luca
Publication date: 1 February 2019
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-41B3-8
Pell equationreduction methodapplications of lower bounds for linear forms in logarithmstribonacci numbers
Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items (10)
Mersenne numbers which are products of two Pell numbers ⋮ Terms of recurrence sequences in the solution sets of generalized Pell equations ⋮ Unnamed Item ⋮ On the \(X\)-coordinates of Pell equations of the form \(px^2\) ⋮ The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. ⋮ Unnamed Item ⋮ On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers ⋮ Linear combinations of prime powers in \(X\)-coordinates of Pell equations ⋮ An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and \(x\)-coordinates of Pell equations ⋮ On the $x-$coordinates of Pell equations which are sums of two Padovan numbers
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