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The distribution of certain special values of the cubic Legendre symbol

Published online by Cambridge University Press:  18 May 2009

S. J. Patterson
S. J. Patterson
Affiliation:
Mathematisches Institut, Bunsenstr. 3–5 D-3400 Göttingen, W. Germany
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Let ω be a primitive cube root of unity. We define the cubic residue symbol (Legendre symbol) on ℤ[ω] as follows. Let πεℤ[ω] be a prime, (3, π)=1. For α ε ℤ[ω] such that (α, π)=1 we let be that third root of unity so that

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 27 , October 1985 , pp. 165 - 184
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

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