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The reckoning of certain quartic and octic Gauss sums
Published online by Cambridge University Press: 18 May 2009
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In this brief note, we evaluate certain quartic and octic Gauss sums with the use of theorems on fourth and eighth power difference sets. We recall that a subset H of a finite (additive) abelian group G is said to be a difference set of G [5, p. 64] if for some fixed natural number λ, every nonzero element of G can be written as a difference of two elements of H fin exactly λ ways.
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- Copyright © Glasgow Mathematical Journal Trust 1977
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