On exceptional systems of random integers
نویسندگان
چکیده
We collect together here the concepts and results which we will need in the sequel; details and proofs are to be found in [HP 1, 2]. Let X1, X2, · · · , Xk be independently distributed random integer variables such that Xj takes values in the range 1 ≤ Xj ≤ nj with equal likelihood. Let m be a fixed but arbitrary modulus. We refer to (n1, n2, · · · , nk;m), abbreviated to (n, k;m), as a system. Let 0 ≤ u ≤ m − 1; then we say that the system (n, k;m) is u-good, abbreviated to (n, k;m) ∈ Gu, (1.1)
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تاریخ انتشار 2000