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Congruences on sums of q-binomial coefficients. / Liu, Ji Cai; Petrov, Fedor.

в: Advances in Applied Mathematics, Том 116, 102003, 05.2020.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Liu, JC & Petrov, F 2020, 'Congruences on sums of q-binomial coefficients', Advances in Applied Mathematics, Том. 116, 102003. https://doi.org/10.1016/j.aam.2020.102003

APA

Liu, J. C., & Petrov, F. (2020). Congruences on sums of q-binomial coefficients. Advances in Applied Mathematics, 116, [102003]. https://doi.org/10.1016/j.aam.2020.102003

Vancouver

Liu JC, Petrov F. Congruences on sums of q-binomial coefficients. Advances in Applied Mathematics. 2020 Май;116. 102003. https://doi.org/10.1016/j.aam.2020.102003

Author

Liu, Ji Cai ; Petrov, Fedor. / Congruences on sums of q-binomial coefficients. в: Advances in Applied Mathematics. 2020 ; Том 116.

BibTeX

@article{409fb8bbf50647c4a533701de07b3e08,
title = "Congruences on sums of q-binomial coefficients",
abstract = "We establish a q-analogue of Sun–Zhao's congruence on harmonic sums. Based on this q-congruence and a q-series identity, we prove a congruence conjecture on sums of central q-binomial coefficients, which was recently proposed by Guo. We also deduce a q-analogue of a congruence due to Apagodu and Zeilberger from Guo's q-congruence.",
keywords = "Cyclotomic polynomials, q-Binomial coefficients, q-Congruences",
author = "Liu, {Ji Cai} and Fedor Petrov",
note = "Funding Information: The authors would like to thank Nemo (MathOverflow User) for the helpful discussion and suggestions. The first author was supported by the National Natural Science Foundation of China (grant 11801417 ). Publisher Copyright: {\textcopyright} 2020 Elsevier Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = may,
doi = "10.1016/j.aam.2020.102003",
language = "English",
volume = "116",
journal = "Advances in Applied Mathematics",
issn = "0196-8858",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Congruences on sums of q-binomial coefficients

AU - Liu, Ji Cai

AU - Petrov, Fedor

N1 - Funding Information: The authors would like to thank Nemo (MathOverflow User) for the helpful discussion and suggestions. The first author was supported by the National Natural Science Foundation of China (grant 11801417 ). Publisher Copyright: © 2020 Elsevier Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/5

Y1 - 2020/5

N2 - We establish a q-analogue of Sun–Zhao's congruence on harmonic sums. Based on this q-congruence and a q-series identity, we prove a congruence conjecture on sums of central q-binomial coefficients, which was recently proposed by Guo. We also deduce a q-analogue of a congruence due to Apagodu and Zeilberger from Guo's q-congruence.

AB - We establish a q-analogue of Sun–Zhao's congruence on harmonic sums. Based on this q-congruence and a q-series identity, we prove a congruence conjecture on sums of central q-binomial coefficients, which was recently proposed by Guo. We also deduce a q-analogue of a congruence due to Apagodu and Zeilberger from Guo's q-congruence.

KW - Cyclotomic polynomials

KW - q-Binomial coefficients

KW - q-Congruences

UR - http://www.scopus.com/inward/record.url?scp=85078168075&partnerID=8YFLogxK

U2 - 10.1016/j.aam.2020.102003

DO - 10.1016/j.aam.2020.102003

M3 - Article

AN - SCOPUS:85078168075

VL - 116

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

SN - 0196-8858

M1 - 102003

ER -

ID: 75248126