scientific article; zbMATH DE number 7753335
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Publication:6076140
zbMath1529.11057arXiv2308.12094MaRDI QIDQ6076140
Publication date: 23 October 2023
Full work available at URL: https://arxiv.org/abs/2308.12094
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucas sequenceCatalan equationprime power baseternary purely exponential Diophantine equationNagell-Ljunggren equationelementary number theory method
Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Cites Work
- On the Diophantine equation \(F_n^x+F_{n+1}^x=F_m^y\)
- On perfect powers that are sums of two Pell numbers
- On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences
- Jeśmanowicz' conjecture and related equations
- PERFECT POWERS THAT ARE SUMS OF TWO POWERS OF FIBONACCI NUMBERS
- Primary cyclotomic units and a proof of Catalans conjecture
- A note on the exponential Diophantine equation (A^2n)^x+(B^2n)^y=((A^2+B^2)n)^z
- A Survey on the Ternary Purely Exponential Diophantine Equation $a^x + b^y = c^z$
- On the exponential Diophantine equation Pxn+Pxn+1=Pm
- On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}
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