Abstract
Let [Formula: see text] be a positive odd integer and [Formula: see text] a positive integer with [Formula: see text]. We prove that [Formula: see text] Here [Formula: see text], [Formula: see text] denotes the Jacobi symbol, and [Formula: see text] is the [Formula: see text]th cyclotomic polynomial in [Formula: see text]. This confirms a recent conjecture of the first author.
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