There are only finitely many \(D(4)\)-quintuples
From MaRDI portal
Publication:658371
DOI10.1216/RMJ-2011-41-6-1847zbMath1237.11014MaRDI QIDQ658371
Publication date: 12 January 2012
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45)
Related Items
On the average number of divisors of reducible quadratic polynomials, AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES, Diophantine quadruples and near-Diophantine quintuples from P3,K sequences, Two-parameter families of uniquely extendable Diophantine triples, Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\), Nonexistence of \(D(4)\)-quintuples
Cites Work
- Unnamed Item
- Unnamed Item
- There does not exist a \(D(4)\)-sextuple
- On the size of sets in which \(xy + 4\) is always a square
- On the number of Diophantine \(m\)-tuples
- Fibonacci numbers and sets with the property \(D(4)\)
- On the number of solutions of simultaneous Pell equations II
- The number of Diophantine quintuples
- Solving constrained Pell equations
- There are only finitely many Diophantine quintuples
- Some rational Diophantine sextuples
- An irregular D(4)-quadruple cannot be extended to a quintuple
- THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2
