Levels of Positive Definite Ternary Quadratic Forms
Document Type
Article
Digital Object Identifier (DOI)
10.1090/S0025-5718-1992-1106974-1
Journal Title
Mathematics of Computation
Publication Date
1992
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 . 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.
Publisher Statement
Full article PDFs in all volumes older than five years are available electronically free of charge.
Recommended Citation
Lehman, J. L. (1992). Levels of positive definite ternary quadratic forms. Mathematics of Computation, 58(197), 399–417. https://doi.org/10.1090/S0025-5718-1992-1106974-1
Comments
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