A Pellian equation with primes and applications to \(D(-1)\)-quadruples
From MaRDI portal
Publication:2272662
DOI10.1007/s40840-018-0638-5zbMath1452.11032arXiv1706.01959OpenAlexW3104344167MaRDI QIDQ2272662
Andrej Dujella, Mirela Jukić Bokun, Ivan Soldo
Publication date: 20 September 2019
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.01959
Related Items (2)
On \(D(-1)\)-triples \(\{1,4p^2+1,1-p\}\) in the ring \(\mathbb{Z}[\sqrt{-p}\) with a prime \(p\)] ⋮ Pellian equations of special type
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit upper bound for an average number of divisors of quadratic polynomials
- \(D(-1)\)-triples of the form \(\{1,b,c\}\) in the ring \(\mathbb Z[\sqrt{-t}\), \(t>0\)]
- On Diophantine quintuples and \(D(-1)\)-quadruples
- A Diophantine equation which arises in the theory of finite groups
- Correction to: ``Explicit upper bound for the average number of divisors of irreducible quadratic polynomials
- On \(D(-1)\)-quadruples
- On the average number of divisors of reducible quadratic polynomials
- Bounds on the number of Diophantine quintuples
- On the size of Diophantine m-tuples
- Non-extensibility of the pair $\{1, 3\}$ to a Diophantine quintuple in $\mathbb{Z}\left[\sqrt{-d}\right$]
- THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES
- On the extensibility of D(−1)-triples {1, b, c} in the ring \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\mathbb{Z}\left[ {\sqrt { - t} } \right\) \end{document}, t > 0]
- What is a Diophantine $m$-tuple?
- Continued fractions and RSA with small secret exponent
- On the extensibility of Diophantine triples {k-1, k+1, 4k} for Gaussian integers
- On integers with identical digits
- A family of quartic Thue inequalities
- The non-extensibility of D(4k)-triples {1, 4k(k-1), 4k^2+1} with |k| prime
- Effective solution of the D(-1)-quadruple conjecture
This page was built for publication: A Pellian equation with primes and applications to \(D(-1)\)-quadruples