| Softcover ISBN: | 978-2-37905-210-1 |
| Product Code: | SMFMEM/186 |
| List Price: | $69.00 |
| AMS Member Price: | $55.20 |
| Softcover ISBN: | 978-2-37905-210-1 |
| Product Code: | SMFMEM/186 |
| List Price: | $69.00 |
| AMS Member Price: | $55.20 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 186; 2025; 118 ppMSC: Primary 11; 37
Let \(S = { \infty } \cup S_f \) be a finite set of places of \(\mathbb{Q}\). Using homogeneous dynamics, the author establishes two new quantitative and explicit results about integral quadratic forms in three or more variables: The first is a criterion of \(S\)-integral equivalence. The second determines a finite generating set of any \(S\)-integral orthogonal group. Both theorems — which extend results of H. Li and G. Margulis for \(S={\infty}\) — are given by polynomial bounds on the size of the coefficients of the quadratic forms.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
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Let \(S = { \infty } \cup S_f \) be a finite set of places of \(\mathbb{Q}\). Using homogeneous dynamics, the author establishes two new quantitative and explicit results about integral quadratic forms in three or more variables: The first is a criterion of \(S\)-integral equivalence. The second determines a finite generating set of any \(S\)-integral orthogonal group. Both theorems — which extend results of H. Li and G. Margulis for \(S={\infty}\) — are given by polynomial bounds on the size of the coefficients of the quadratic forms.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
