An upper bound for B2[g] sets

نویسندگان

  • Gang Yu
  • Wenzhi Luo
چکیده

Suppose g is a fixed positive integer. For N 2, a set A⊂ Z∩[1,N ] is called a B2[g] set if every integer n has at most g distinct representations as n = a + b with a, b ∈ A and a b. In this paper, we give an upper bound estimate for the size of such A, improving the existing results. © 2006 Elsevier Inc. All rights reserved. MSC: 11G05; 14H52

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تاریخ انتشار 2006