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Some new residuacity criteria

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Publication:1150389
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DOI10.2140/pjm.1980.91.135zbMath0456.10001OpenAlexW2146161595MaRDI QIDQ1150389

Kenneth S. Williams, Richard H. Hudson

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.91.135


zbMATH Keywords

indexcyclotomic numberseighth power residuesprimes as fourth power residues


Mathematics Subject Classification ID

Power residues, reciprocity (11A15)


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Binomial Coefficients and Jacobi Sums ⋮ On second 2-descent and non-congruent numbers ⋮ A new criterion for 7 to be a fourth power (mod p) ⋮ On the quadratic character of quadratic units ⋮ Quartic, octic residues and Lucas sequences ⋮ Congruences for q[p/8 (mod p) under the condition 4n2p = x2 + qy2]




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