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Brewer sum

In mathematics, Brewer sums are finite character sum introduced by Brewer (1961, 1966) related to Jacobsthal sums.

Definition

The Brewer sum is given by

where Dn is the Dickson polynomial (or "Brewer polynomial") given by

and () is the Legendre symbol.

The Brewer sum is zero when n is coprime to q2−1.

References