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The reckoning of certain quartic and octic Gauss sums

Published online by Cambridge University Press:  18 May 2009

Bruce C. Berndt  and
S. Chowla
Bruce C. Berndt
Affiliation:
University of Illinois, Urbana, Illinois 61801, U.S.A.
S. Chowla
Affiliation:
Institute for Advanced Study, Princeton, New Jersey 08540, U.S.A.
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 2 , July 1977 , pp. 153 - 155
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

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