Uniqueness conjecture on simultaneous Pell equations
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Publication:6102965
DOI10.4064/aa221005-1-3zbMath1529.11049WikidataQ123117035 ScholiaQ123117035MaRDI QIDQ6102965
Publication date: 10 May 2023
Published in: Acta Arithmetica (Search for Journal in Brave)
Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68)
Cites Work
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- Simultaneous Pell equations
- S-unit equations over number fields
- On the number of solutions to systems of Pell equations
- Any Diophantine quintuple contains a regular Diophantine quadruple
- Diophantine approximation
- Solving families of simultaneous Pell equations
- Uniqueness of solutions to simultaneous Pell equations
- Another generalization of a theorem of Baker and Davenport
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- Bounds for Diophantine quintuples II
- A note on the simultaneous Pell equations $x^2-ay^2=1$ and $z^2-by^2=1$
- On simultaneous Pell equations and related Thue equations
- Bounds for Diophantine quintuples
- Explicit formula for the solution of simultaneous Pell equations 𝑥²-(𝑎²-1)𝑦²=1, 𝑦²-𝑏𝑧²=1
- On the number of solutions of simultaneous Pell equations II
- Linear forms in two logarithms and interpolation determinants II
- Simultaneous rational approximations and related diophantine equations
- There are only finitely many Diophantine quintuples
- On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$
- Simultaneous Pell equations
- Euler's concordant forms
- Intersections of recurrence sequences
- THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2
- On the number of solutions of simultaneous Pell equations
- On the number of solutions of simultaneous Pell equations