Real zeroes of Epstein's zeta function for ternary positive definite quadratic forms
نویسندگان
چکیده
منابع مشابه
Levels of Positive Definite Ternary Quadratic Forms
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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An integral quadratic form f of m variables is said to be n-regular if f globally represents all quadratic forms of n variables that are represented by the genus of f . For any n ≥ 2, it is shown that up to equivalence, there are only finitely many primitive positive definite integral quadratic forms of n+3 variables that are n-regular. We also investigate similar finiteness results for almost ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1979
ISSN: 0019-2082
DOI: 10.1215/ijm/1256048314