Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Akinari Hoshi"'
Publikováno v:
Journal of Number Theory. 244:84-110
Autor:
Akinari HOSHI1, Masakazu KOSHIBA2
Publikováno v:
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Jan2021, Vol. 97 Issue 1, p1-6. 6p.
Autor:
Akinari Hoshi1 hoshi@math.sc.niigata-u.ac.jp, Hidetaka Kitayama2 hkitayam@center.wakayama-u.ac.jp
Publikováno v:
Kyoto Journal of Mathematics. 2020, Vol. 60 Issue 1, p335-377. 43p.
Publikováno v:
manuscripta mathematica. 168:423-437
Let $k$ be a field with char $k\neq 2$ and $k$ be not algebraically closed. Let $a\in k\setminus k^2$ and $L=k(\sqrt{a})(x,y)$ be a field extension of $k$ where $x,y$ are algebraically independent over $k$. Assume that $\sigma$ is a $k$-automorphism
Autor:
Aiichi Yamasaki, Akinari Hoshi
Publikováno v:
Israel Journal of Mathematics. 241:849-867
We classify stably/retract rational norm one tori in dimension $p-1$ where $p$ is a prime number and in dimension up to ten with some minor exceptions.
Comment: 12 pages. The statements of Theorem 1.9 and Theorem 1.11 are modified. arXiv admin n
Comment: 12 pages. The statements of Theorem 1.9 and Theorem 1.11 are modified. arXiv admin n
Publikováno v:
Journal of Algebra. 544:262-301
Let $k$ be a field and $G$ be a finite group acting on the rational function field $k(x_g : g\in G)$ by $k$-automorphisms defined as $h(x_g)=x_{hg}$ for any $g,h\in G$. We denote the fixed field $k(x_g : g\in G)^G$ by $k(G)$. Noether's problem asks w
Autor:
Akinari Hoshi, Kazuki Kanai
Let $e \geq 2$ be an integer, $p^r$ be a prime power with $p^r \equiv 1\ ({\rm mod}\ e)$ and $\eta_r(i)$ be Gaussian periods of degree $e$ for ${\mathbb F}_{p^r}$. By the dual form of Davenport and Hasse's lifting theorem on Gauss sums, we establish
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36200b73a3b0df8c28dcf3fa50f2e3d2
http://arxiv.org/abs/2105.14872
http://arxiv.org/abs/2105.14872
View the abstract.
Autor:
Akinari Hoshi
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 29:549-568
Let $k$ be a field and $T$ be an algebraic $k$-torus. In 1969, over a global field $k$, Voskresenskii proved that there exists an exact sequence $0\to A(T)\to H^1(k,{\rm Pic}\,\overline{X})^\vee\to Sha(T)\to 0$ where $A(T)$ is the kernel of the weak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6165feb747f55eff677c4ac6fde0c052