تقرير
Representing rational integers by generalized quadratic forms over quadratic fields
| العنوان: | Representing rational integers by generalized quadratic forms over quadratic fields |
|---|---|
| المؤلفون: | Chwiedziuk, Ondřej, Doležálek, Matěj, Pěchoučková, Emma, Pezlar, Zdeněk, Prakash, Om, Romeo, Giuliano, Růžičková, Anna, Zindulka, Mikuláš |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Primary 11E12 Secondary 11E16, 11E20, 11E25, 11E39, 11R11, 11R80 |
| الوصف: | We investigate generalized quadratic forms with values in the set of rational integers over quadratic fields. We characterize the real quadratic fields which admit a positive definite binary generalized form of this type representing every positive integer. We also show that there are only finitely many such fields where a ternary generalized form with these properties exists. Comment: 26 pages; comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.07171 |
| رقم الأكسشن: | edsarx.2403.07171 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |