Timeline for Primitive representation of integers by some form on the genus of a quadratic form
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 11, 2022 at 9:51 | vote | accept | MathqA | ||
| Oct 10, 2022 at 19:45 | answer | added | GH from MO | timeline score: 3 | |
| Sep 13, 2022 at 16:15 | comment | added | Will Jagy | Again in Cassels, Theorem 5.1 on page 143. A cautionary note on page 168, example 23, primitive spinor exceptions. google.com/books/edition/Rational_Quadratic_Forms/… | |
| Sep 13, 2022 at 15:40 | comment | added | Will Jagy | In that case, I suggest Burton W. Jones, The Arithmetic Theory of Quadratic Forms, especially chapter 8. Rationally represented is Hasse-Minkowski. Then, Jones was the first to show that every integer rationally represented by a form is integrally represented by something in its genus. .... It is also Theorem 1.3, page 129, chapter 9, of Rational Quadratic Forms by Cassels. | |
| Sep 13, 2022 at 15:20 | comment | added | MathqA | Thank you! By searching in your page I have found other references where this result is used, e.g. the coment after the theorem [1] of this Duke article of 1997 (zakuski.math.utsa.edu/~kap/Duke_1997.pdf). But again I am not able to prove why this is true (why we only need the congruence with a single value depending on the determinant?) or a reference where stated explicitly. | |
| Sep 12, 2022 at 15:02 | comment | added | Will Jagy | See my page zakuski.math.utsa.edu/~kap for a start | |
| Sep 12, 2022 at 13:40 | history | asked | MathqA | CC BY-SA 4.0 |