A corollary to a theorem of Laurent-Mignotte-Nesterenko
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Publication:4236050
DOI10.4064/aa-86-2-101-111zbMath0919.11051OpenAlexW915560676MaRDI QIDQ4236050
Publication date: 27 April 1999
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/207183
Related Items (16)
On the Diophantine equation \((x^ k-1)(y^ k-1)=(z^ k-1)\). ⋮ On the Diophantine equation \(x^ 2+a^ 2=2y^ p\). ⋮ On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) ⋮ Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples ⋮ On a family of Diophantine triples \(\{K,A^2K + 2A, (A + 1)^2 K + 2(A + 1)\}\) with two parameters. II ⋮ The number of solutions to the generalized Pillai equation \(\pm ra^{x} \pm sb^{y}=c\). ⋮ Jeśmanowicz' conjecture on exponential Diophantine equations ⋮ On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases. ⋮ All solutions to Thomas' family of Thue equations over imaginary quadratic number fields ⋮ On the equation \(y^x\pm x^y=z^2\) ⋮ On the number of solutions to systems of Pell equations ⋮ On the power values of power sums ⋮ The extendibility of Diophantine pairs. II: Examples ⋮ Thomas' family of Thue equations over imaginary quadratic fields ⋮ On the exponential Diophantine equation \(a^x+b^y=c^z\) ⋮ Bennett's Pillai theorem with fractional bases and negative exponents allowed
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