Ternary positive quadratic forms that represent all odd positive integers
نویسندگان
چکیده
منابع مشابه
Quadratic Forms Representing All Odd Positive Integers
We consider the problem of classifying all positive-definite integer-valued quadratic forms that represent all positive odd integers. Kaplansky considered this problem for ternary forms, giving a list of 23 candidates, and proving that 19 of those represent all positive odds. (Jagy later dealt with a 20th candidate.) Assuming that the remaining three forms represent all positive odds, we prove ...
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The level N and squarefree character q of a positive definite ternary quadratic form are defined so that its associated modular form has level N and character Xg ■ We define ä collection of correspondences between classes of quadratic forms having the same level and different discriminants. This makes practical a method for finding representatives of all classes of ternary forms having a given ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1995
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-70-3-209-214