Displaying similar documents to “On a theorem of Daboussi related to the set of Gaussian integers.”

Gamma-function and Gaussian-sum-function

Helversen-Pasotto, A.

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After some remarks about the analogy between the classical gamma-function and Gaussian sums over finite fields a complete, very short explicit proof is given of an identity expressing a certain sum of products of Gaussian sums as a product of Gaussian sums. This identity is an analogue of the classical Barnes’ first lemma for the gamma-function. Four multiplicative characters of a finite field are concerned; the usually necessary restrictions on the triviality of certain products of...