On a paper of Erd\"os and Szekeres

Abstract

Propositions 1.1 -- 1.3 stated below contribute to results and certain problems considered in a paper by Erdos and Szekeres, on the behavior of products Πn1 (1-zaj), 1≤ a1≤ ·s≤ an integers. In the discussion, \a1, …, an \ will be either a proportional subset of \1, …, n\ or a set of large arithmetic diameter.

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