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Mathematics of Computation

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Levels of positive definite ternary quadratic forms

Author: J. Larry Lehman
Journal: Math. Comp. 58 (1992), 399-417, S17
MSC: Primary 11E20
MathSciNet review: 1106974
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Abstract: 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 $ {\chi _q}$. We define à 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 level. We also give a formula for the number of genera of ternary forms with a given level and character.

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Article copyright: © Copyright 1992 American Mathematical Society

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