Supercongruences related to \({}_3F_2(1)\) involving harmonic numbers. (English) Zbl 1421.11008
Summary: We provide various supercongruences for truncated series which involve central binomial coefficients and harmonic numbers. The corresponding infinite series are also evaluated.
MSC:
| 11A07 | Congruences; primitive roots; residue systems |
| 11B65 | Binomial coefficients; factorials; \(q\)-identities |
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 33B15 | Gamma, beta and polygamma functions |
| 11S80 | Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) |
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