Some q-Supercongruences Modulo the Fifth Power of a Cyclotomic Polynomial from Squares of q-Hypergeometric Series
Author:
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/s00025-021-01536-w.pdf
Reference28 articles.
1. El Bachraoui, M.: On supercongruences for truncated sums of squares of basic hypergeometric series. Ramanujan J. 54, 415–426 (2021)
2. Gasper, G., Rahman, M.: Basic Hypergeometric Series (Encyclopedia of Mathematics and Its Applications 96), 2nd edn. Cambridge University Press, Cambridge (2004)
3. Guo, V.J.W.: A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for primes $$p\equiv 1~(\text{ mod } 4)$$. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 114, 123 (2020)
4. Guo, V.J.W.: $$q$$-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Adv. Appl. Math. 120, 102078 (2020)
5. Guo, V.J.W.: A new extension of the (H.2) supercongruence of Van Hamme for any primes $$p\equiv 3~(\text{ mod } \; 4)$$. Ramanujan J. (2021). https://doi.org/10.1007/s11139-020-00369-5
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1. Further Generalizations of the (A.2) and (H.2) Supercongruences of Van Hamme;Results in Mathematics;2024-04-29
2. q-Supercongruences on Triple and Quadruple Sums;Results in Mathematics;2022-11-26
3. -tuple sum analogues for Ramanujan-type congruences;Proceedings of the American Mathematical Society;2022-07-15
4. Further q-supercongruences from a transformation of Rahman;Journal of Mathematical Analysis and Applications;2022-07
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