Optimal systems of fundamental S-units for LLL-reduction

Lajos Hajdu

Type: Article

Publication Date: 2009-09-01

Citations: 5

DOI: https://doi.org/10.1007/s10998-009-9053-x

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Periodica Mathematica Hungarica - View
arXiv (Cornell University) - View - PDF
University of Debrecen Electronic Archive (University of Debrecen) - View - PDF

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Works That Cite This (5)

Action	Title	Year	Authors
+	Unit Equations in Diophantine Number Theory	2015	Jan‐Hendrik Evertse Kálmán Győry
+ PDF Chat	Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations	2008	Lajos Hajdu Tündé Kovàcs
+ PDF Chat	An Optimization Problem for Lattices	2013	Lajos Hajdu Tündé Kovàcs A. Pethö Michael Pohst
+	Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture	2023	Rafael von Känel Benjamin Matschke
+	Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture	2016	Rafael von Känel Benjamin Matschke

Works Cited by This (26)

Action	Title	Year	Authors
+ PDF Chat	<i>S</i>-unit equations and their applications	1988	Jan‐Hendrik Evertse Kálmán Győry C. L. Stewart R. Tijdeman
+ PDF Chat	Decomposable form equations	1988	Jan‐Hendrik Evertse K. Győry
+	Diophantine Equations and Power Integral Bases: New Computational Methods	2002	István Gaál
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+	Determining the small solutions to 𝑆-unit equations	1999	Nigel P. Smart
+ PDF Chat	On the resolution of relative Thue equations	2001	István Gaál Michael Pohst
+ PDF Chat	Index form equations in sextic fields: a hard computation	2004	Yuri Bilu István Gaál Kálmán Győry
+	Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern	2000	K. Wildanger
+	On the number of solutions of linear equations in units of an algebraic number field	1979	Kálmán Győry