One-class genera of positive quadratic forms in at least five variables
نویسندگان
چکیده
منابع مشابه
One class genera of ternary quadratic forms over number fields
We enumerate all one class genera of definite ternary quadratic forms over number fields. For this, we construct all Gorenstein orders of type number one in definite quaternion algebras over number fields. Finally, we list all definite quaternion orders of ideal class number one.
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0. Introduction. In [2] it was shown that in a certain sense most integers represented by some form in the genus of a given integral ternary positive definite quadratic form are represented by all forms in this genus. More precisely, let (L,q) be a Zlattice of rank 3 with integral positive definite quadratic form. Then all sufficiently large integers a that are represented primitively by some l...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1975
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-26-3-309-327