On the Diophantine Equation G n (x) = G m (y) with Q (x, y)=0

DOI10.1007/978-3-211-74280-8_10zbMath1215.11031OpenAlexW98922915MaRDI QIDQ3530433

Robert F. Tichy, Clemens Fuchs, Attila Pethoe

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_10

zbMATH Keywords

linear recurring sequencesdiophantine equationsS-unit equations

Mathematics Subject Classification ID

Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Linear Diophantine equations (11D04)

Related Items (4)

Effective bounds for the zeros of linear recurrences in function fields ⋮ Perfect powers in polynomial power sums ⋮ Decomposable polynomials in second order linear recurrence sequences ⋮ Composite values of polynomial power sums

Cites Work

• Algebraic function fields and codes
• Effective bounds for the zeros of linear recurrences in function fields
• Finiteness of integral values for the ratio of two linear recurrences
• On the Diophantine equation \(G_n(x)=G_m(P(x))\) for third order linear recurring sequences
• The zero multiplicity of linear recurrence sequences
• On the integer solutions of exponential equations in function fields.
• On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\)
• Linear equations in variables which lie in a multiplicative group
• On the Diophantine equation 𝐺_{𝑛}(𝑥)=𝐺_{𝑚}(𝑃(𝑥)): Higher-order recurrences
• The Diophantine equation f(x) = g(y)
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