Proof of Sun’s conjectures on super congruences and the divisibility of certain binomial sums-Reference-Cited by-同舟云学术

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Proof of Sun’s conjectures on super congruences and the divisibility of certain binomial sums

Published:2019-06-01 Issue:1 Volume:50 Page:1-11
ISSN:1382-4090
Container-title:The Ramanujan Journal
language:en
Short-container-title:Ramanujan J

Author:

Mao Guo-Shuai,Zhang Tao

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11139-019-00138-z.pdf

Reference10 articles.

1. Guillera, J., Zudilin, W.: “Divergent” Ramanujan-type supercongruences. Proc. Am. Math. Soc. 14(3), 765–777 (2012)

2. Guo, V.J.W.: Proof of Sun’s conjecture on the divisibility of certain binomial sums. Electron. J. Comb. 20(4) (2013)

3. Guo, V.J.W.: $$q$$-Analogue of two “divergent” Ramanujan-type supercongruences. Ramanujan J. https://doi.org/10.1007/s11139-019-00161-0

4. Hu, D.-W., Mao, G.-S.: On an extension of a Van Hamme supercongruence. Ramanujan J. 42(3), 713–723 (2017)

5. Mao, G.-S., Sun, Z.-W.: Two congruences involving harmonic numbers with applications. Int. J. Number Theory 12(02), 527–539 (2016)

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1. Proof of some congruences via the hypergeometric identities;Journal of Mathematical Analysis and Applications;2024-12

2. Proof of Two Supercongruences of Truncated Hypergeometric Series 4F3;Acta Mathematica Sinica, English Series;2023-09-08

3. Proof of some supercongruences concerning truncated hypergeometric series;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-04-08

4. Factors of certain sums involving central q-binomial coefficients;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-12-01

5. Proof of a supercongruence via the Wilf–Zeilberger method;Journal of Symbolic Computation;2021-11

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