Article ID Journal Published Year Pages File Type
5772722 Journal of Number Theory 2017 9 Pages PDF
Abstract
A set of non-negative integers A is an additive 2-basis with range n, if its sumset A+A contains 0,1,…,n but not n+1. Explicit bases are known with arbitrarily large size |A|=k and n/k2≥2/7>0.2857. We present a more general construction and improve the lower bound to 85/294>0.2891.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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