Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Yasuhiro Ishitsuka"'
Autor:
Azusa Tanaka, Yasuhiro Ishitsuka, Hiroki Ohta, Akihiro Fujimoto, Jun-Ichirou Yasunaga, Masao Matsuoka
Publikováno v:
PLoS Computational Biology, Vol 16, Iss 11, p e1008422 (2020)
The huge amount of data acquired by high-throughput sequencing requires data reduction for effective analysis. Here we give a clustering algorithm for genome-wide open chromatin data using a new data reduction method. This method regards the genome a
Externí odkaz:
https://doaj.org/article/4205b08643c64b7883c1718788773ac7
application/pdf
We propose a stochastic process of interacting many agents, which is inspired by rank-based supplanting dynamics commonly observed in a group of Japanese macaques. In order to characterize the breaking of permutation symmetry wit
We propose a stochastic process of interacting many agents, which is inspired by rank-based supplanting dynamics commonly observed in a group of Japanese macaques. In order to characterize the breaking of permutation symmetry wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb4ac6df98a638f0ba9e95375eaf59ca
Publikováno v:
International Journal of Number Theory. 16:881-905
We use explicit methods to study the 4-torsion points on the Jacobian variety of the Fermat quartic. With the aid of computer algebra systems, we explicitly give a basis of the group of 4-torsion points. We calculate the Galois action, and show that
We study the finiteness of low degree points on certain modular curves and their Atkin--Lehner quotients, and, as an application, prove the modularity of elliptic curves over all but finitely many totally real fields of degree $5$. On the way, we pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2f010b04f21a94ad51bd6286935a2f5
http://arxiv.org/abs/2110.04078
http://arxiv.org/abs/2110.04078
Autor:
Masao Matsuoka, Jun-ichirou Yasunaga, Akihiro Fujimoto, Azusa Tanaka, Yasuhiro Ishitsuka, Hiroki Ohta
Publikováno v:
PLoS Computational Biology, Vol 16, Iss 11, p e1008422 (2020)
PLoS Computational Biology
PLoS Computational Biology
The huge amount of data acquired by high-throughput sequencing requires data reduction for effective analysis. Here we give a clustering algorithm for genome-wide open chromatin data using a new data reduction method. This method regards the genome a
Autor:
Tetsushi Ito, Yasuhiro Ishitsuka
Publikováno v:
Journal of Pure and Applied Algebra. 221:1316-1321
We give an application of Mumford's theory of canonical theta characteristics to a Diophantine problem in characteristic two. We prove that a smooth plane curve over a global field of characteristic two is defined by the determinant of a symmetric ma
Autor:
Tetsushi Ito, Yasuhiro Ishitsuka
Publikováno v:
International Journal of Number Theory. 12:955-967
We prove that the defining equations of the Fermat curves of prime degree cannot be written as the determinant of symmetric matrices with entries in linear forms in three variables with rational coefficients. In the proof, we use a relation between s
Autor:
Yasuhiro Ishitsuka, Tetsushi Ito
Publikováno v:
The Ramanujan Journal. 43:141-162
A smooth plane curve is said to admit a symmetric determinantal representation if it can be defined by the determinant of a symmetric matrix with entries in linear forms in three variables. We study the local–global principle for the existence of s
On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree
We give two algorithms to compute linear determinantal representations of smooth plane curves of any degree over any field. As particular examples, we explicitly give representatives of all equivalence classes of linear determinantal representations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e84de7411b9faa58bf3a2541568d17b
Autor:
Yasuhiro Ishitsuka, Tetsushi Ito
We study a variant of the Hasse principle for finite Galois modules, allowing exceptional sets of positive density. For a Galois module whose underlying abelian group is isomorphic to $\mathbb{F}_p^{\oplus r}$ ($r \leq 2$), we show that the product o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b3b5fad5ddd1e44210f224645b778fc