Lagrange ’ s Theorem and Thin Subsequences of Squares

  title={Lagrange ’ s Theorem and Thin Subsequences of Squares},
  author={Paul Erdijs and Melvyn B. Nathanson},
Probabilistic methods are used to prove that for every E > 0 there exists a sequence A, of squares such that every positive integer is the sum of at most four squares in A, and A,(x) = 0(x=8 + y. 

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