A q-analogue of the (J.2) supercongruence of Van Hamme
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DOI: 10.1016/j.jmaa.2018.06.021
Abstract: Abstract The (L.2) supercongruence of Van Hamme was proved by Swisher recently. In this paper we provide a conjectural q-analogue of the (L.2) supercongruence of Van Hamme and prove a weaker form of it by… read more here.
Keywords: van hamme; supercongruence van; analogue;
Some new q-supercongruences on double sums related to Van Hamme’s (D.2) supercongruence
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2025.2551550
Abstract: In this paper, we obtain some new q-supercongruences on double sums related to Van Hamme’s (D.2) supercongruence, which include a conjecture proposed by Song and Wang recently. The results are modulo the cube and fourth… read more here.
Keywords: double sums; van hamme; related van; sums related ... See more keywords
A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)
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DOI: 10.1142/s1793042121500329
Abstract: Long and Ramakrishna [Some supercongruences occurring in truncated hyper- geometric series, Adv. Math. 290 (2016) 773–808] generalized the (H.2) supercongruence of Van Hamme to the modulus p3 case.... read more here.
Keywords: analogue van; hamme supercongruence; supercongruence; van hamme ... See more keywords