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Criteria for cubic and quartic residuacity

Published online by Cambridge University Press:  26 February 2010

Emma Lehmer
Affiliation:
942 Hilldale Avenue, Berkeley 8, Calif., U.S.A.
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In a short and little known paper, Jacobi [1] gives conditions for the cubic residuacity of small primes q = 2, 3, ..., 37 to a prime p in terms of the quadratic partition

in the form L ≡ ±µM (mod q), and LM ≡ 0 (mod q).

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Research Article
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Copyright © University College London 1958

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