Výsledky vyhledávání - "Washio, Yusuke"

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Approximation measures for shifted logarithms of algebraic numbers via effective Poincare-Perron

Autor: Hirata-Kohno, Noriko, Muroi, Ryuji, Washio, Yusuke

In this article, we show new effective approximation measures for the shifted logarithm of algebraic numbers which belong to a number field of arbitrary degree. Our measures refine previous ones including those for usual logarithms. We adapt Pade app

Externí odkaz: http://arxiv.org/abs/2406.10820

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Visual Padé approximations for Riemann zeta values (Study of Mathematical Software and Its Effective Use for Mathematics Education)

Autor: Sugimoto, Kazuki, Muroi, Ryuji, Yamazaki, Keita, Washio, Yusuke, Kawashima, Makoto, Washio, Yukiko, Suzuki, Kiyomitsu, Tonegawa, Satoshi, Hirata-Kohno, Noriko

Publikováno v: 数理解析研究所講究録. 2236:108-116

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::f64835b981844b40cea64d1978cbc7ae
http://hdl.handle.net/2433/282957

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Transcendence related to certain series and visualization via Mathematica (Study of Mathematical Software and Its Effective Use for Mathematics Education)

Autor: Sugimoto, Kazuki, Nishibayashi, Hiroki, Kawashima, Makoto, Suzuki, Kiyomitsu, Tonegawa, Satoshi, Washio, Yukiko, Hirata-Kohno, Noriko, Washio, Yusuke

Publikováno v: 数理解析研究所講究録. 2208:31-38

In the present notes, we introduce a known fact that a series with coefficients of paperfolding sequence takes transcendental values at algebraic points in the disc of convergence. This result bridges, Diophantine approximations with dynamic active i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::efc99c2f9703eba0ceb3d40b8f213fa2
http://hdl.handle.net/2433/268801

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Ramanujan's contribution to approximate π and visualization via Mathematica (Study of Mathematical Software and its Effective Use for Mathematics Education)

Autor: Kurishima, Kodai, Suzuki, Yudai, Nishibayashi, Hiroki, Suzuki, Kiyomitsu, Tonegawa, Satoshi, Washio, Yukiko, Hirata-Kohno, Noriko, Washio, Yusuke

Publikováno v: 数理解析研究所講究録. 2178:100-108

In the present notes, we study how he computed, Srinivasa Ramanujan (1887-1920), the exact value of π. We try to understand what is behind, from the viewpoint of number theory, especially Diophantine approximations, to compare several series using M

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::364aec3b11e940290daf6ad17ab82950
http://hdl.handle.net/2433/264834

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Minkowski Convex Body Theorem towards Pólya's Visibility Problem via Mathematica (Study of Mathematical Software and Its Effective Use for Mathematics Education)

Autor: Kurishima, Kodai, Suzuki, Yudai, Kurimoto, Yuta, Ishii, Yukiko, Suzuki, Kiyomitsu, Hirata-Kohno, Noriko, Washio, Yusuke

Publikováno v: 数理解析研究所講究録. 2142:42-52

In the present notes, we study the visibility problem, frequently called orchard problem, due to G Pólya. We explain here the concept of the problem and mathematical contributions for solving it from the viewpoint of Diophantine approximation, based

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::cad6fd2d59fc9647fa27043cb2f525b5
http://hdl.handle.net/2433/254946

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Kronecker Approximation Theorem employing Mathematica (Study of Mathematical Software and Its Effective Use for Mathematics Education)

Autor: Hirata-Kohno, Noriko, Ishii, Yukiko, Kurimoto, Yuta, Shimawaki, Shohei, Suzuki, Kiyomitsu, Washio, Yusuke

Publikováno v: 数理解析研究所講究録. 2105:33-38

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::786897bb74e06d2d18455b2ace9fa94c
http://hdl.handle.net/2433/251870

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The Irrationality via Diophantine Approximation and Mathematica (Study of Mathematical Software and Its Effective Use for Mathematics Education)

Autor: Hirata-Kohno, Noriko, Ishii, Yukiko, Kurimoto, Yuta, Suzuki, Kiyomitsu, Washio, Yusuke, Zenyoji, Miku

Publikováno v: 数理解析研究所講究録. 2067:55-64

In the present notes, we study the irrationality of a real number. We explain here Weyl's Criterion: whenever a real number $theta$ is irrational, then the fractional part {n $theta$} (n = 1, 2, 3, cdots) of n $theta$ is uniformly distributed mod 1.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::597da624f826b4d67b1918a3953caca8
http://hdl.handle.net/2433/241934

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A criterion for the linear independence of polylogarithms over a number field (Algebraic Number Theory and Related Topics 2014)

Autor: Hirata-Kohno, Noriko, Ito, Masaru, Washio, Yusuke

Publikováno v: 数理解析研究所講究録別冊. :3-18

Let Lis(z) be the s-th polylogarithmic function. Let α ∈ Q, 0
"Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS K

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::e651e498e725d5cb613f1e10d5b45eab
http://hdl.handle.net/2433/243657

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