Výsledky vyhledávání - "Kawagoe, Kenichi"

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The colored HOMFLY-PT polynomials of the trefoil knot, the figure-eight knot and twist knots

Autor: Kawagoe, Kenichi

We give a rigorous proof of the colored HOMFLY-PT polynomials of the trefoil knot, the figure-eight knot and twist knots. For the trefoil knot and the figure-eight knot, it is expressed by a single sum, and for a twist knot, it is expressed by a doub

Externí odkaz: http://arxiv.org/abs/2107.08678

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On the formulae for the colored HOMFLY polynomials

Autor: Kawagoe, Kenichi

We provide methods to compute the colored HOMFLY polynomials of knots and links with symmetric representations based on the linear skein theory. By using diagrammatic calculations, several formulae for the colored HOMFLY polynomials are obtained. As

Externí odkaz: http://arxiv.org/abs/1210.7574

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q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function

Autor: Kawagoe, Kenichi, Wakayama, Masato, Yamasaki, Yoshinori

Publikováno v: Forum Math., 20 (2008) No. 1, 1-26

A q-analogue of the Riemann zeta function was studied in [Kaneko et al. 03] via a certain q-series of two variables. We introduce in a similar way a q-analogue of the Dirichlet L-functions and make a detailed study of them, including some issues conc

Externí odkaz: http://arxiv.org/abs/math/0402135

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