On Two-point Configurations in a Random Set
نویسنده
چکیده
We show that with high probability a random subset of {1, . . . , n} of size Θ(n) contains two elements a and a + d, where d is a positive integer. As a consequence, we prove an analogue of the Sárközy-Fürstenberg theorem for a random subset of {1, . . . , n}.
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