The distribution of 𝑘𝑡ℎ power residues and nonresidues

Jordan, James H.

doi:10.1090/S0002-9939-1968-0225717-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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The distribution of $k\textrm {th}$ power residues and nonresidues
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by James H. Jordan

Proc. Amer. Math. Soc. 19 (1968), 678-680

DOI: https://doi.org/10.1090/S0002-9939-1968-0225717-5

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References

D. A. Burgess, On character sums and primitive roots, Proc. London Math. Soc. (3) 12 (1962), 179–192. MR 132732, DOI 10.1112/plms/s3-12.1.179
James H. Jordan, The distribution of cubic and quintic non-residues, Pacific J. Math. 16 (1966), 77–85. MR 186619, DOI 10.2140/pjm.1966.16.77
J. M. Vinogradov, On a general theorem concerning the distribution of the residues and non-residues of powers, Trans. Amer. Math. Soc. 29 (1927), no. 1, 209–217. MR 1501384, DOI 10.1090/S0002-9947-1927-1501384-3