On irregularities of distribution in shifts and dilations of integer sequences, II
نویسنده
چکیده
Let N be a positive integer. In 1964, Roth [3], see also [4] and [5], proved that no matter how we partition {1, . . . , N} into two sets there will always be an arithmetic progression which contains a preponderance of terms from one of the two sets. In particular, let ε1, . . . , εN be elements of {1,−1} and put εi = 0 for i < 1 and i > N . He proved that there exist positive numbers c0 and c1 such that if N exceeds c0 then
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تاریخ انتشار 1987