Hypergeometric evaluation identities and supercongruences
Copyright policy )Hypergeometric evaluation identities and supercongruences
In this article, we provide an application of hypergeometric evaluation identities, including a strange valuation of Gosper, to prove several supercongruences related to special valuations of truncated hypergeometric series. In particular, we prove a conjecture of van Hamme.
Generalized hypergeometric series, \({}_pF_q\), hypergeometric identities, Mathematics - Number Theory, Binomial coefficients; factorials; \(q\)-identities, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), FOS: Mathematics, Congruences; primitive roots; residue systems, Number Theory (math.NT), supercongruences, 33C20
Generalized hypergeometric series, \({}_pF_q\), hypergeometric identities, Mathematics - Number Theory, Binomial coefficients; factorials; \(q\)-identities, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), FOS: Mathematics, Congruences; primitive roots; residue systems, Number Theory (math.NT), supercongruences, 33C20
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).116 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 1% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!