• Corpus ID: 11969516

# ON DIFFERENCE SETS OF SEQUENCES OF INTEGERS . III

@inproceedings{Saricozy1978ONDS,
title={ON DIFFERENCE SETS OF SEQUENCES OF INTEGERS . III},
author={A. Saricozy},
year={1978}
}
where the maximum is taken for those sets ul< u~-K.. , which form an &‘-set relative to the set 12, 22, . . . , n2, . . . . see [ll].) In the case of the arithmetic progressions of three terms, we may use the following simple fact: (i) A set afqrr,, afqu,, “,. , afqu, (where a is an integer and t, q, ul, u2, . . . , u, are positive integers) does not contain an arithmetic progression of three terms if and only if also the set u,, u,, . . . , U, has this property.
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