Abstract
[Formula: see text] is called a Sidon set if [Formula: see text] are all distinct for any [Formula: see text]. Let [Formula: see text] be the largest cardinal number of such [Formula: see text]. We are interested in the sum of elements in the Sidon set [Formula: see text]. In this paper, we prove that for any [Formula: see text], [Formula: see text] where [Formula: see text] is a Sidon set and [Formula: see text].
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