A Pellian Equation with Primes and Applications to $$D(-1)$$ D ( - 1 ) -Quadruples

Andrej Dujella, Mirela Jukić Bokun, Ivan Soldo

Type: Article

Publication Date: 2018-05-27

Citations: 5

DOI: https://doi.org/10.1007/s40840-018-0638-5

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Bulletin of the Malaysian Mathematical Sciences Society - View - PDF
arXiv (Cornell University) - View - PDF
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+	On $$D(-1)$$-triples $$\{1,4p^2+1,1-p\}$$ in the ring $${{\mathbb {Z}}}[\sqrt{-p}]$$ with a prime p	2022	Alan Filipin Mirela Jukić Bokun Ivan Soldo
+	On the extensibility of $$D(-1)$$-pairs containing Fermat primes	2019	Mirela Jukić Bokun Ivan Soldo
+	The non-existence of D(−1)-quadruples extending certain pairs in imaginary quadratic rings	2023	Yasutsugu Fujita Ivan Soldo
+	On the extendibility of certain $$D(-1)$$-pairs in imaginary quadratic rings	2023	Yasutsugu Fujita Ivan Soldo
+	Pellian equations of special type	2021	Mirela Jukić Bokun Ivan Soldo

Works Cited by This (29)

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+	On the Exceptional Set in the Problem of Diophantus and Davenport	1998	Andrej Dujella
+	The problem of Diophantus for integers of Q[√-3]	2014	Zrinka Franušić Ivan Soldo
+	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	2013	Ivan Soldo
+	THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES	2011	Alan Filipin Yasutsugu Fujita Max Mignotte
+	On Diophantine quintuples and $$D(-1)$$ D ( - 1 ) -quadruples	2013	Christian Elsholtz Alan Filipin Yasutsugu Fujita
+	On the extensibility of Diophantine triples {k-1, k+1, 4k} for Gaussian integers	2008	Zrinka Franušić
+ PDF Chat	Effective solution of the D(-1)-quadruple conjecture	2007	Andrej Dujella Alan Filipin Clemens Fuchs
+ PDF Chat	A family of quartic Thue inequalities	2004	Andrej Dujella Borka Jadrijević
+ PDF Chat	On $D(−1)$-quadruples	2012	Nicolae Ciprian Bonciocat Mihai Cipu Max Mignotte
+	A diophantine equation which arises in the theory of finite groups	1975	Peter Crescenzo