On the Jones polynomial modulo primes
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 730-734
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We derive an upper bound on the density of Jones polynomials of knots modulo a prime number $p$, within a sufficiently large degree range: $4/p^7$. As an application, we classify knot Jones polynomials modulo two of span up to eight.
Aiello, Valeriano; Baader, Sebastian; Ferretti, Livio. On the Jones polynomial modulo primes. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 730-734. doi: 10.1017/S0017089523000253
@article{10_1017_S0017089523000253,
author = {Aiello, Valeriano and Baader, Sebastian and Ferretti, Livio},
title = {On the {Jones} polynomial modulo primes},
journal = {Glasgow mathematical journal},
pages = {730--734},
year = {2023},
volume = {65},
number = {3},
doi = {10.1017/S0017089523000253},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000253/}
}
TY - JOUR AU - Aiello, Valeriano AU - Baader, Sebastian AU - Ferretti, Livio TI - On the Jones polynomial modulo primes JO - Glasgow mathematical journal PY - 2023 SP - 730 EP - 734 VL - 65 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000253/ DO - 10.1017/S0017089523000253 ID - 10_1017_S0017089523000253 ER -
%0 Journal Article %A Aiello, Valeriano %A Baader, Sebastian %A Ferretti, Livio %T On the Jones polynomial modulo primes %J Glasgow mathematical journal %D 2023 %P 730-734 %V 65 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000253/ %R 10.1017/S0017089523000253 %F 10_1017_S0017089523000253
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