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q-Supercongruences from Transformation Formulas

Published:2022-09-13 Issue:6 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Ni He-Xia,Wang Li-Yuan,Wu Hai-Liang^ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01753-x.pdf

Reference24 articles.

1. Encyclopedia of Mathematics and Its Applications;G Gasper,2004

2. Guo, V.J.W.: $$q$$-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Adv. Appl. Math. 120, 102078 (2020)

3. Guo, V.J.W.: A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for primes $$p\equiv 1~(mod \; 4)$$. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 114, 123 (2020)

4. Guo, V.J.W.: A further $$q$$-analogue of Van Hamme’s (H.2) supercongruence for primes $$p\equiv 3~(mod \; 4)$$. Int. J. Number Theory 17, 1201–1206 (2021)

5. Guo, V.J.W., Schlosser, M.J.: A new family of $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Results Math. 75, 155 (2020)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new extension of a “divergent” Ramanujan-type supercongruence;Journal of Difference Equations and Applications;2023-10-17

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