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Dec 7, 2010 at 6:36 comment added Seva @Wadim: thanks for the references. I will check them but, honestly, I think the similarity between my question and Siegel's Lemma is merely conceptual.
Dec 6, 2010 at 11:45 comment added Wadim Zudilin Seva, without refereeing to your wanted case, I would suggest you looking at: Iskander Aliev, Siegel's lemma and sum-distinct sets. Discrete Comput. Geom. 39 (2008), no. 1-3, 59–66 (dx.doi.org/10.1007/s00454-008-9059-9), and Lenny Fukshansky, Siegel's lemma with additional conditions. J. Number Theory 120 (2006), no. 1, 13–25 (dx.doi.org/10.1016/j.jnt.2005.11.009). Iskander is an expert in all possible versions of Siegel's lemma...
Dec 6, 2010 at 9:59 history edited Seva CC BY-SA 2.5
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Dec 6, 2010 at 9:38 comment added Seva @Denis: Wikipedia has a brief and to-the-point article on Siegel's Lemma. (For some technical reason, I have troubles inserting the link.)
Dec 6, 2010 at 6:50 comment added Denis Serre For beotians, could you give a formulation of Siegel's Lemma ? Thanks.
Dec 5, 2010 at 21:18 history asked Seva CC BY-SA 2.5