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The first nontrivial genus of positive definite ternary forms

Author: Irving Kaplansky
Journal: Math. Comp. 64 (1995), 341-345
MSC: Primary 11E25; Secondary 11E20
MathSciNet review: 1265017
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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 [Enhancements On Off] (What's this?)

  • [1] Burton Jones, The regularity of a genus of positive ternary quadratic forms, Trans. Amer. Math. Soc. 33 (1931), 111-124. MR 1501578
  • [2] Burton Jones and Gordon Pall, Regular and semi-regular positive ternary quadratic forms, Acta Math. 70 (1939), 165-191. MR 1555447
  • [3] Gordon Pall, An almost universal form, Bull. Amer. Math. Soc. 46 (1940), 291. MR 0001756 (1:292e)
  • [4] -, Representations by quadratic forms, Canad. J. Math. 1 (1949), 344-364.

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Keywords: Ternary form, genus, representations of integers
Article copyright: © Copyright 1995 American Mathematical Society

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