Article ID Journal Published Year Pages File Type
8897073 Journal of Number Theory 2018 21 Pages PDF
Abstract
TheoremLetϒ(t1,…,tg)=∑i=1gυitiandΦ(t1,…,th)=∑i=1hφitibe linear forms with nonzero coefficients in the ring R. If{0,1}⊆S(ϒ)andS(Φ)⊆R×, then for everyε>0andc>1there exist a finite R-module M with|M|>cand a subset A of M such thatϒ(A∪{0})=Mand|Φ(A)|<ε|M|.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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