Some q-Supercongruences from a Quadratic Transformation by Rahman

Inspired by the recent work on q -congruences and a quadratic transformation formula of Rahman, we provide some new q -supercongruences. By taking parameters specialization in one of our results, we obtain a new Ramanujan-type supercongruence, which has the same right-hand side as Van Hamme’s (G.2)...

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Vydané v:	Resultate der Mathematik Ročník 77; číslo 1
Hlavní autori:	Liu, Yudong, Wang, Xiaoxia
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.02.2022
Predmet:	Mathematics Mathematics and Statistics Primary 33D15 supercongruences cyclotomic polynomial 11B65 Basic hypergeometric series congruences Secondary 11A07 Rahman’s transformation formula
ISSN:	1422-6383, 1420-9012
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