𝑁-tuple sum analogues for Ramanujan-type congruences
Copyright policy )𝑁-tuple sum analogues for Ramanujan-type congruences
In this paper we prove supercongruence relations for truncated N N -tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.
Generalized hypergeometric series, \({}_pF_q\), Mathematics - Number Theory, \(q\)-supercongruence, creative microscoping method, basic hypergeometric series, Binomial coefficients; factorials; \(q\)-identities, truncated sum, \(q\)-calculus and related topics, FOS: Mathematics, Congruences; primitive roots; residue systems, cyclotomic polynomial, Number Theory (math.NT)
Generalized hypergeometric series, \({}_pF_q\), Mathematics - Number Theory, \(q\)-supercongruence, creative microscoping method, basic hypergeometric series, Binomial coefficients; factorials; \(q\)-identities, truncated sum, \(q\)-calculus and related topics, FOS: Mathematics, Congruences; primitive roots; residue systems, cyclotomic polynomial, Number Theory (math.NT)
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