THE ORBITS OF PRIMITIVE REPRESENTATIONS OF A QUADRATIC FORM BY A QUADRATIC FORM
Abstract
We study the primitive integral representations of a quadratic form in n − 1 variables by a reduced quadratic form in n variables. Our aim is to describe the orbits of such representations under the action of the unit group of the reduced form. That description provides the mass of the representations, considered by Shimura. A formula for computation of the mass is also proved in the indefinite case.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Analytic Number Theory Research
Publication details
- Journal / source
- Institutional Repositories DataBase (IRDB)
- Volume
- 63
- Issue
- 1
- Pages
- 91–110
- Publication date
- 1 January 2026
- Language
- EN