Zobrazeno 1 - 10 of 177 pro vyhledávání: '"Hitoshi Nakada"'
1
On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields
Autor: Rie Natsui, Hitoshi Nakada, Hiromi Ei
Publikováno v: Journal of Number Theory. 238:106-132
We consider some types of complex continued fraction expansions and their associated maps of the Euclidean fields Q ( − d ) , d = 1 , 2 , 3 , 7 and 11 introduced by Hurwitz (1887) [7] , Lakein (1973) [10] and Shiokawa et al. (1975) [20] . We show t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d93be06dc322ec64fb8637dce4c7f0f1
https://doi.org/10.1016/j.jnt.2021.08.004
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3
Orbits of N-expansions with a finite set of digits
Autor: Jaap de Jonge, Cor Kraaikamp, Hitoshi Nakada
Publikováno v: Monatshefte, 198(1), 79-119
Monatshefte für Mathematik, 198(1)
For$$N \in {\mathbb {N}}_{\ge 2}$$N∈N≥2and$$\alpha \in {\mathbb {R}}$$α∈Rsuch that$$0 < \alpha \le \sqrt{N}-1$$0<α≤N-1, we define$$I_\alpha :=[\alpha ,\alpha +1]$$Iα:=[α,α+1]and$$I_\alpha ^-:=[\alpha ,\alpha +1)$$Iα-:=[α,α+1)and inves
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee45653b1deeacf7ce909da65a3b28ff
https://dare.uva.nl/personal/pure/en/publications/orbits-of-nexpansions-with-a-finite-set-of-digits(ea9c50e2-2eb4-4e98-81c4-b0c3aeb81d33).html
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6
Analysis of generalized continued fraction algorithms over polynomials
Autor: Valérie Berthé, Rie Natsui, Brigitte Vallée, Hitoshi Nakada
Publikováno v: Finite Fields and Their Applications
Finite Fields and Their Applications, Elsevier, 2021, 73, pp.101849. ⟨10.1016/j.ffa.2021.101849⟩
We study and compare natural generalizations of Euclid's algorithm for polynomials with coefficients in a finite field. This leads to gcd algorithms together with their associated continued fraction maps. The gcd algorithms act on triples of polynomi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f2a7f33b4344dc0f96e32a7be75e1d3
https://hal.archives-ouvertes.fr/hal-03379577/document
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7
Novel Flexible Films with High Gas Barrier Layers by Sputtering and ALD
Autor: Hitoshi Nakada, Mitsuhiro Koden, Miho Sugimoto, Norifumi Kawamura, Toshinao Yuki
Publikováno v: 2021 28th International Workshop on Active-Matrix Flatpanel Displays and Devices (AM-FPD).
Novel flexible films with high gas barrier layers deposited by sputtering and ALD (Atomic Layer Deposition) were developed, aiming at the application to flexible organic electronics devices. While single barrier layers deposited by sputtering or ALD
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7f614154a66b0946f63611278bf6fe35
https://doi.org/10.23919/am-fpd52126.2021.9499138
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10
On the construction of the natural extension of the Hurwitz complex continued fraction map
Autor: Hitoshi Nakada, Rie Natsui, Shunji Ito, Hiromi Ei
Publikováno v: Monatshefte für Mathematik. 188:37-86
We consider the Hurwitz complex continued fraction map associated to the Gaussian field $${\mathbb {Q}}(i)$$ . We characterize the density function of the absolutely continuous invariant measure for the map associated to the Hurwitz continued fractio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e21a944292ed168ec79717443438d95c
https://doi.org/10.1007/s00605-018-1229-0
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