Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Hidekazu Furusho"'
Autor:
HIDEKAZU FURUSHO
Publikováno v:
American Journal of Mathematics; Aug2022, Vol. 144 Issue 4, p873-894, 22p
Autor:
Hidekazu Furusho
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030370305
We discuss an action of the Grothendieck-Teichmuller proalgebraic group on the linear span of proalgebraic tangles, oriented tangles completed by a filtration of Vassiliev. The action yields a motivic structure on tangles. We derive distinguished pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c7fc6213fea8380521cd25971b04bbc
https://doi.org/10.1007/978-3-030-37031-2_20
https://doi.org/10.1007/978-3-030-37031-2_20
Autor:
Hidekazu Furusho
Publikováno v:
Journal of Algebra. 506:364-378
This paper explains a method to calculate the coefficients of the Alekseev–Torossian associator as linear combinations of iterated integrals of Kontsevich weight forms of Lie graphs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::980bc7e24a6b4505767541b003ef6257
https://doi.org/10.1016/j.jalgebra.2018.03.023
https://doi.org/10.1016/j.jalgebra.2018.03.023
Publikováno v:
Selecta Mathematica
We construct $p$-adic multiple $L$-functions in several variables, which are generalizations of the classical Kubota-Leopoldt $p$-adic $L$-functions, by using a specific $p$-adic measure. Our construction is from the $p$-adic analytic side of view, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bdbdfa120e28262e092c51e8adcbae6
https://doi.org/10.1007/s00029-016-0233-2
https://doi.org/10.1007/s00029-016-0233-2
Autor:
Benjamin Enriquez, Hidekazu Furusho
This paper is the first in a series which aims at: (a) giving a proof that the associator relations between multizeta values imply the double shuffle and regularization (DSR) ones, alternative to that of the second-named author's 2010 paper; (b) enha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::787abf528b04fa642306bf774b41e8d4
Autor:
Hidekazu Furusho, David Jarossay
We show that the special values at tuples of positive integers of the $p$-adic multiple $L$-function introduced by the first-named author et al. can be expressed in terms of the cyclotomic multiple harmonic values introduced by the second-named autho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4657b24616679991378ed40ba065e723
Autor:
Hidekazu Furusho, Benjamin Enriquez
According to Racinet's work, the scheme of double shuffle and regularization relations between cyclotomic analogues of multiple zeta values has the structure of a torsor over a pro-unipotent $\mathbb Q$-algebraic group $\sf{DMR}_0$, which is an algeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b822310abb2d650f7e045d2af7459990
Autor:
Benjamin Enriquez, Hidekazu Furusho
Publikováno v:
Journal of Pure and Applied Algebra. 216:982-995
This paper is on the elimination of defining equations of the cyclotomic analogues, introduced by the first-named author, of Drinfeld’s scheme of associators [7] . We show that the mixed pentagon equation implies the octagon equation for N = 2 and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9fc8840e118b7bb165b62b38f853d3d
https://doi.org/10.1016/j.jpaa.2011.10.009
https://doi.org/10.1016/j.jpaa.2011.10.009
Autor:
Hidekazu Furusho
Publikováno v:
Annals of Mathematics. 171:545-556
The author will prove that Drinfel'd's pentagon equation implies his two hexagon equations in the Lie algebra, pro-unipotent, pro-$l$ and pro-nilpotent contexts.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e98f175d261e3089e958c11942565138
https://doi.org/10.4007/annals.2010.171.545
https://doi.org/10.4007/annals.2010.171.545
Autor:
Hidekazu Furusho
Publikováno v:
American Journal of Mathematics. 129:1105-1144
We establish a Tannakian formalism of $p$-adic multiple polylogarithms and $p$-adic multiple zeta values introduced in our previous paper via a comparison isomorphism between a de Rham fundamental torsor and a rigid fundamental torsor of the projecti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::575a62c2c4c4d1ae0731febbbb8b2c5e
https://doi.org/10.1353/ajm.2007.0024
https://doi.org/10.1353/ajm.2007.0024