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- W2795087183 abstract "For integers a and n>0, let a(n) denote the residue class {xin Z: x=a (mod n)}. Let A be a collection {a_s(n_s)}_{s=1}^k of finitely many residue classes such that A covers all the integers at least m times but {a_s(n_s)}_{s=1}^{k-1} does not. We show that if n_k is a period of the covering function w_A(x)=|{1le sle k: xin a_s(n_s)}| then for any r=0,...,n_k-1 there are at least m integers in the form $sum_{sin I}1/n_s-r/n_k$ with I contained in {1,...,k-1}." @default.
- W2795087183 created "2018-04-06" @default.
- W2795087183 creator A5030071648 @default.
- W2795087183 date "2004-11-15" @default.
- W2795087183 modified "2023-09-26" @default.
- W2795087183 title "A connection between covers of Z and unit fractions" @default.
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