Ronald J. Evans
Abstract
New classes of pairs e, p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e., have a real power. Certain pure Gauss sums are explicitly evaluated.
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New classes of pairs e, p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e., have a real power. Certain pure Gauss sums are explicitly evaluated.
Key concepts: Gauss sum, Mathematics, Gauss, Finite field, Quadratic Gauss sum, Order (exchange), Sums of powers, Pure mathematics