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pro vyhledávání: '"Asakura, Masanori"'
Autor:
Asakura, Masanori, Otsubo, Noriyuki
We define the adelic hypergeometric function of special Gaussian type by means of a tower of hypergeometric curves. This function takes values in an adelic completed group ring and interpolates all the hypergeometric functions of the same type over a
Externí odkaz:
http://arxiv.org/abs/2408.08012
Autor:
Asakura, Masanori, Hagihara, Kei
Recently, Kedlaya proves certain formula describing explicitly the Frobenius structure on a hypergeometric equation. In this paper, we give a generalization of it. In our case, the Frobenius matrix is no longer described by p-adic gamma function, and
Externí odkaz:
http://arxiv.org/abs/2307.08940
Autor:
Orihara, Yoshiyuki, Min, Kyung-Duk, Eguchi, Akiyo, Okuhara, Yoshitaka, Asakura, Masanori, Ishihara, Masaharu
Publikováno v:
In CJC Open September 2024 6(9):1050-1057
Autor:
Kobayashi, Masatake, Yamashina, Akira, Satomi, Kazuhiro, Tezuka, Ayako, Ito, Shin, Asakura, Masanori, Kitakaze, Masafumi, Ferreira, João Pedro
Publikováno v:
In International Journal of Cardiology 15 November 2024 415
Autor:
Asakura, Masanori
Based on the theory of rigid cohomology, we provide an explicit formula of zeta functions of certain K3 families, which we call the hypergeometric type. The central point of our argument is the comparison between the 2nd rigid cohomology of a K3 and
Externí odkaz:
http://arxiv.org/abs/2109.05699
Autor:
ASAKURA, Masanori
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2023 Jan 01. 35(2), 393-451.
Externí odkaz:
https://www.jstor.org/stable/48747604
Autor:
Asakura, Masanori
This is a sequel of the paper "A generalization of the Ross symbols in higher K-groups and hypergeometric functions I" where we introduced higher Ross symbols in higher $K$-groups of the hypergeometric schemes, and discussed the Beilinson regulators.
Externí odkaz:
http://arxiv.org/abs/2102.07946
Autor:
Asakura, Masanori, Miyatani, Kazuaki
Publikováno v:
J. Inst. Math. Jussieu 23 (2024) 1357-1415
We introduce a category of filtered F-isocrystals and construct a symbol maps on Milnor K-theory which is compatible with the syntomic symbol maps to the log syntomic cohomology. These are fundamental materials in our applications on syntomic regulat
Externí odkaz:
http://arxiv.org/abs/2007.14255
Autor:
Asakura, Masanori
The Ross symbol is defined to be an element {1-z,1-w\} in K_2 of a Fermat curve z^n+w^m=1. Ross showed that it is non-torsion by computing the Beilinson regulator. In this paper, we introduce a generalization of the Ross symbols in K_{d+1} of a varie
Externí odkaz:
http://arxiv.org/abs/2003.10652
Autor:
Asakura, Masanori, Chida, Masataka
Restricting ourselves to elliptic curves over $\mathbb{Q}$, we reformulate the $p$-adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach. We then develop a new algorithm for numerical verifications of the $p$
Externí odkaz:
http://arxiv.org/abs/2003.08888