On the quantitative unit sum number problem–-an application of the subspace theorem

Alan Filipin, Robert F. Tichy, Volker Ziegler

Type: Article

Publication Date: 2008-01-01

Citations: 12

DOI: https://doi.org/10.4064/aa133-4-1

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Locations

Acta Arithmetica - View

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Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Sums of units in function fields	2010	Christopher Frei
+ PDF Chat	The additive unit structure of pure quartic complex fields	2008	Alan Filipin Robert F. Tichy Volker Ziegler
+	30 years of collaboration	2016	Clemens Fuchs Lajos Hajdu
+ PDF Chat	On quantitative aspects of the unit sum number problem	2009	Clemens Fuchs Robert F. Tichy Volker Ziegler
+	THE ADDITIVE S-UNIT STRUCTURE OF QUADRATIC FIELDS	2011	Volker Ziegler
+	30 years of collaboration	2015	Clemens Fuchs Lajos Hajdu
+	On sums of S-integers of bounded norm	2013	Christopher Frei Robert F. Tichy Volker Ziegler
+ PDF Chat	On rings of integers generated by their units	2011	Christopher Frei
+	Additive unit representations in rings over global fields -- A survey	2011	Fabrizio Barroero Christopher Frei Robert F. Tichy
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Works Cited by This (18)

Action	Title	Year	Authors
+	Unit Sum Numbers of Rings and Modules	1998	Brendan Goldsmith Simone Pabst A.J. Scott
+ PDF Chat	Diophantine Approximations and Diophantine Equations	1991	Wolfgang M. Schmidt
+	Complete solution of parametrized Thue equations	1998	Clemens Heuberger Attila Pethö Robert F. Tichy
+	Approximation of Algebraic Numbers	2008	Hans Peter Schlickewei
+	On Sums of Units	2007	Moshe Jarden Władysław Narkiewicz
+	Linearformen mit algebraischen Koeffizienten	1976	Hans Peter Schlickewei
+ PDF Chat	Linear Equations in Variables which Lie in a Multiplicative Group	2002	Jan‐Hendrik Evertse Hans Peter Schlickewei Winfried Schmidt
+	Automatic solution of families of Thue equations and an example of degree 8	2004	Clemens Heuberger Alain Togbé Volker Ziegler
+	Counting the values taken by sums of S-units	1990	Graham Everest
+ PDF Chat	Every linear transformation is a sum of nonsingular ones	1954	Daniel Zelinsky