Zobrazeno 1 - 7
of 7
pro vyhledávání: '"11E20, 11E12"'
Publikováno v:
Proceedings of the Edinburgh Mathematical Society 63 (2020) 861-912
We study totally positive definite quadratic forms over the ring of integers $\mathcal{O}_K$ of a totally real biquadratic field $K=\mathbb{Q}(\sqrt{m}, \sqrt{s})$. We restrict our attention to classical forms (i.e., those with all non-diagonal coeff
Externí odkaz:
http://arxiv.org/abs/1909.05422
Autor:
Earnest, A. G., Haensch, Anna
A quadratic form has a one-class spinor genus if its spinor genus consists of a single equivalence class. In this paper, we determine that there is only one primitive quaternary genus which has a one-class spinor genus but not a one-class genus. In a
Externí odkaz:
http://arxiv.org/abs/1803.03028
Autor:
Earnest, A. G., Haensch, Anna
Publikováno v:
Mathematika 65 (2019) 213-235
Extending the notion of regularity introduced by Dickson in 1939, a positive definite ternary integral quadratic form is said to be spinor regular if it represents all the positive integers represented by its spinor genus (that is, all positive integ
Externí odkaz:
http://arxiv.org/abs/1711.05811
We study totally positive definite quadratic forms over the ring of integers $\mathcal{O}_K$ of a totally real biquadratic field $K=\mathbb{Q}(\sqrt{m}, \sqrt{s})$. We restrict our attention to classical forms (i.e., those with all non-diagonal coeff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a724c430bebef7bdc4f63f642dd36ec
http://arxiv.org/abs/1909.05422
http://arxiv.org/abs/1909.05422
Autor:
Anna Haensch, A. G. Earnest
Publikováno v:
Acta Arithmetica
A quadratic form has a one-class spinor genus if its spinor genus consists of a single equivalence class. We determine that there is, up to equivalence, only one primitive integral positive definite quaternary quadratic form which has a one-class spi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::895bedb2b820fc0d79a1ad626243ed2a
http://arxiv.org/abs/1803.03028
http://arxiv.org/abs/1803.03028
Autor:
A. G. Earnest, Anna Haensch
Extending the notion of regularity introduced by Dickson in 1939, a positive definite ternary integral quadratic form is said to be spinor regular if it represents all the positive integers represented by its spinor genus (that is, all positive integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41d9d6a5127bc621409418f234266d91
http://arxiv.org/abs/1711.05811
http://arxiv.org/abs/1711.05811
Publikováno v:
Proceedings of the Edinburgh Mathematical Society; Aug2020, Vol. 63 Issue 3, p861-912, 52p
