The first nontrivial genus of positive definite ternary forms

Kaplansky, Irving

doi:10.1090/S0025-5718-1995-1265017-2

Mathematics of Computation

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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