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## Sakai, Yuichi

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 Author ID: sakai.yuichi Published as: Sakai, Yuichi; Sakai, Y. External Links: MGP
 Documents Indexed: 23 Publications since 2000
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#### Co-Authors

 5 single-authored 9 Nagatomo, Kiyokazu 4 Kaneko, Masanobu 3 Arike, Yusuke 2 Mason, Geoffrey 1 Henniger, R. 1 Jenny, Patrick 1 Kawasetsu, Kazuya 1 Kazalicki, Matija 1 Kurokawa, Yamato 1 Sasoh, Akihiro 1 Shimizu, Kenichi 1 Suetomi, Eiichi 1 Tasaka, Koji 1 Tsutsumi, Hiroyuki 1 Wild, Marcel 1 Xiao, Heng
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#### Serials

 2 Letters in Mathematical Physics 2 Journal of Algebra 2 The Ramanujan Journal 2 International Journal of Number Theory 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Acta Arithmetica 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Mathematical Journal of Okayama University 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Communications in Number Theory and Physics
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#### Fields

 15 Number theory (11-XX) 9 Nonassociative rings and algebras (17-XX) 8 Quantum theory (81-XX) 4 Fluid mechanics (76-XX) 3 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

15 Publications have been cited 62 times in 26 Documents Cited by Year
Affine vertex operator algebras and modular linear differential equations. Zbl 1338.81344
Arike, Yusuke; Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2016
Modular forms and second order ordinary differential equations: applications to vertex operator algebras. Zbl 1283.11070
Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2013
The third order modular linear differential equations. Zbl 1416.11058
Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2017
The Atkin orthogonal polynomials for the low-level Fricke groups and their application. Zbl 1230.11048
Sakai, Yuichi
2011
Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters. Zbl 1414.17017
Arike, Yusuke; Nagatomo, Kiyokazu; Sakai, Yuichi
2017
Vertex operator algebras with central charge $$1/2$$ and $$-68/7$$. Zbl 1370.17027
Nagatomo, Kiyokazu; Sakai, Yuichi
2016
The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7. Zbl 1318.11055
Sakai, Yuichi
2014
Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited. Zbl 07310885
Mason, Geoffrey; Nagatomo, Kiyokazu; Sakai, Yuichi
2021
Rapid distortion theory analysis on the interaction between homogeneous turbulence and a planar shock wave. Zbl 1456.76057
Kitamura, T.; Nagata, K.; Sakai, Y.; Sasoh, A.; Ito, Y.
2016
Vertex operator algebras, minimal models, and modular linear differential equations of order 4. Zbl 1406.81081
Arike, Yusuke; Nagatomo, Kiyokazu; Sakai, Yuichi
2018
Modular linear differential equations of fourth order and minimal $$\mathcal{W}$$-algebras. Zbl 1430.17090
Kawasetsu, Kazuya; Sakai, Yuichi
2018
On modular solutions of fractional weights for the Kaneko-Zagier equation for $$\varGamma^*_0(2)$$ and $$\varGamma^*_0(3)$$. Zbl 1381.11031
Sakai, Yuichi
2015
Coupling of solvers with non-conforming computational domains in a dual-mesh hybrid LES/RANS framework. Zbl 1391.76257
Xiao, H.; Sakai, Y.; Henniger, R.; Wild, M.; Jenny, P.
2013
Two-dimensional fluid simulation of plasma reactors for the immobilization of krypton. Zbl 0978.76064
Suetomi, E.; Tanaka, M.; Kamiya, S.; Hayashi, S.; Ikeda, S.; Sugawara, H.; Sakai, Y.
2000
Extremal quasimodular forms for low-level congruence subgroups. Zbl 1285.11069
Sakai, Yuichi; Tsutsumi, Hiroyuki
2012
Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited. Zbl 07310885
Mason, Geoffrey; Nagatomo, Kiyokazu; Sakai, Yuichi
2021
Vertex operator algebras, minimal models, and modular linear differential equations of order 4. Zbl 1406.81081
Arike, Yusuke; Nagatomo, Kiyokazu; Sakai, Yuichi
2018
Modular linear differential equations of fourth order and minimal $$\mathcal{W}$$-algebras. Zbl 1430.17090
Kawasetsu, Kazuya; Sakai, Yuichi
2018
The third order modular linear differential equations. Zbl 1416.11058
Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2017
Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters. Zbl 1414.17017
Arike, Yusuke; Nagatomo, Kiyokazu; Sakai, Yuichi
2017
Affine vertex operator algebras and modular linear differential equations. Zbl 1338.81344
Arike, Yusuke; Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2016
Vertex operator algebras with central charge $$1/2$$ and $$-68/7$$. Zbl 1370.17027
Nagatomo, Kiyokazu; Sakai, Yuichi
2016
Rapid distortion theory analysis on the interaction between homogeneous turbulence and a planar shock wave. Zbl 1456.76057
Kitamura, T.; Nagata, K.; Sakai, Y.; Sasoh, A.; Ito, Y.
2016
On modular solutions of fractional weights for the Kaneko-Zagier equation for $$\varGamma^*_0(2)$$ and $$\varGamma^*_0(3)$$. Zbl 1381.11031
Sakai, Yuichi
2015
The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7. Zbl 1318.11055
Sakai, Yuichi
2014
Modular forms and second order ordinary differential equations: applications to vertex operator algebras. Zbl 1283.11070
Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai, Yuichi
2013
Coupling of solvers with non-conforming computational domains in a dual-mesh hybrid LES/RANS framework. Zbl 1391.76257
Xiao, H.; Sakai, Y.; Henniger, R.; Wild, M.; Jenny, P.
2013
Extremal quasimodular forms for low-level congruence subgroups. Zbl 1285.11069
Sakai, Yuichi; Tsutsumi, Hiroyuki
2012
The Atkin orthogonal polynomials for the low-level Fricke groups and their application. Zbl 1230.11048
Sakai, Yuichi
2011
Two-dimensional fluid simulation of plasma reactors for the immobilization of krypton. Zbl 0978.76064
Suetomi, E.; Tanaka, M.; Kamiya, S.; Hayashi, S.; Ikeda, S.; Sugawara, H.; Sakai, Y.
2000
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#### Cited by 28 Authors

 9 Sakai, Yuichi 6 Nagatomo, Kiyokazu 3 Arike, Yusuke 2 Grabner, Peter J. 2 Kaneko, Masanobu 2 Kawasetsu, Kazuya 2 Mason, Geoffrey 2 Morton, Patrick 2 Mukhi, Sunil 1 Aricheta, Victor Manuel 1 Beem, Christopher 1 Chandra, A. Ramesh 1 Das, Arpit 1 Feigenbaum, Ahram S. 1 Gottesman, Richard 1 Gowdigere, Chethan N. 1 Hardin, Douglas P. 1 Harvey, Jeffrey A. 1 Kaidi, Justin 1 Kiyuna, Tomoya 1 Miyamoto, Masahiko 1 Nakaya, Tomoaki 1 Perlmutter, Eric 1 Poddar, Rahul 1 Rastelli, Leonardo 1 Santara, Jagannath 1 Singh, Palash 1 Wu, Yuxiao
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#### Cited in 10 Serials

 6 Journal of High Energy Physics 3 Journal of Number Theory 3 International Journal of Number Theory 2 Letters in Mathematical Physics 2 Journal of Algebra 2 The Ramanujan Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Japan Academy. Series A 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Cited in 8 Fields

 16 Number theory (11-XX) 12 Quantum theory (81-XX) 10 Nonassociative rings and algebras (17-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)