Biquadratic reciprocity laws
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- by Ezra Brown PDF
- Proc. Amer. Math. Soc. 37 (1973), 374-376 Request permission
Abstract:
Let $p \equiv q \equiv 1\;(\bmod 4)$ be distinct primes such that $(p|q) = 1$, and let $g = [k,2m,n]$ be a binary quadratic form of determinant q which represents p. Subject to certain restrictions on k and q, we obtain some reciprocity laws for the fourth-power residue symbols ${(p|q)_4}$ and ${(q|p)_4}$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 374-376
- MSC: Primary 10A15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313172-8
- MathSciNet review: 0313172