Articles with "van hamme" as a keyword



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A q-analogue of the (J.2) supercongruence of Van Hamme

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

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;
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A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)

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Published in 2020 at "International Journal of Number Theory"

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