Common values of linear recurrences related to Shank's simplest cubics

Recurrences (11B37) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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The proof of a conjecture concerning the intersection of \(k\)-generalized Fibonacci sequences
Verification of a conjecture of E. Thomas
Complete solutions to a family of cubic Diophantine equations
Intersection des images de certaines suites recurrentes linéaires
The Magma algebra system. I: The user language
Ueber ganzzahlige Lösungen von Gleichungen zwischen zwei Veränderlichen.
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Common values of generalized Fibonacci and Pell sequences
Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
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Implementing 2-descent for Jacobians of hyperelliptic curves
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The Simplest Cubic Fields
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On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k
Contributions to the theory of diophantine equations I. On the representation of integers by binary forms

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