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Further q-reflections on the modulo 9 Kanade-Russell (conjectural) identities. / Коненков, Степан Денисович.

In: Journal of Combinatorial Theory - Series A, Vol. 206, 105894, 01.08.2024.

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@article{be5c95ce09e14afdb2ffc414211c1c4f,
title = "Further q-reflections on the modulo 9 Kanade-Russell (conjectural) identities.",
abstract = "We examine four identities conjectured by Dean Hickerson which complement five modulo 9 Kanade–Russell identities, and we build up a profile of new identities and new conjectures similar to those found by Ali Uncu and Wadim Zudilin.",
keywords = "Experimental mathematics, Generating functions of partitions, Kanade–Russell conjectures, Polynomial identities",
author = "Коненков, {Степан Денисович}",
year = "2024",
month = aug,
day = "1",
doi = "10.1016/j.jcta.2024.105894",
language = "English",
volume = "206",
journal = "Journal of Combinatorial Theory - Series A",
issn = "0097-3165",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Further q-reflections on the modulo 9 Kanade-Russell (conjectural) identities.

AU - Коненков, Степан Денисович

PY - 2024/8/1

Y1 - 2024/8/1

N2 - We examine four identities conjectured by Dean Hickerson which complement five modulo 9 Kanade–Russell identities, and we build up a profile of new identities and new conjectures similar to those found by Ali Uncu and Wadim Zudilin.

AB - We examine four identities conjectured by Dean Hickerson which complement five modulo 9 Kanade–Russell identities, and we build up a profile of new identities and new conjectures similar to those found by Ali Uncu and Wadim Zudilin.

KW - Experimental mathematics

KW - Generating functions of partitions

KW - Kanade–Russell conjectures

KW - Polynomial identities

UR - https://www.mendeley.com/catalogue/8c25254c-6d82-37e1-8267-84619838fb33/

U2 - 10.1016/j.jcta.2024.105894

DO - 10.1016/j.jcta.2024.105894

M3 - Article

VL - 206

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

M1 - 105894

ER -

ID: 126350197