The maximum number of distinct squares in a circular word of length n is at most (5/3)n.
Seminar on Number Theory (Univervit´ e de Bordeaux I, Talence) 25, 1–16 (1983)
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A Tighter Upper Bound for the Number of Distinct Squares in Circular Words
The maximum number of distinct squares in a circular word of length n is at most (5/3)n.