The first nontrivial genus of positive definite ternary forms
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- by Irving Kaplansky PDF
- Math. Comp. 64 (1995), 341-345 Request permission
Abstract:
The first nontrivial genus of positive ternary forms has discriminant 7. The paper presents all known results concerning this genus, including some computations.References
- Burton W. Jones, The regularity of a genus of positive ternary quadratic forms, Trans. Amer. Math. Soc. 33 (1931), no. 1, 111–124. MR 1501578, DOI 10.1090/S0002-9947-1931-1501578-8
- Burton W. Jones and Gordon Pall, Regular and semi-regular positive ternary quadratic forms, Acta Math. 70 (1939), no. 1, 165–191. MR 1555447, DOI 10.1007/BF02547347
- Gordon Pall, An almost universal form, Bull. Amer. Math. Soc. 46 (1940), 291. MR 1756, DOI 10.1090/S0002-9904-1940-07200-3 —, Representations by quadratic forms, Canad. J. Math. 1 (1949), 344-364.
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Math. Comp. 64 (1995), 341-345
- MSC: Primary 11E25; Secondary 11E20
- DOI: https://doi.org/10.1090/S0025-5718-1995-1265017-2
- MathSciNet review: 1265017