Some supercongruences related to truncated hypergeometric series

DOI10.1007/s11139-022-00625-wOpenAlexW4294415468MaRDI QIDQ2111887

Yanyan Li

Publication date: 17 January 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00625-w

zbMATH Keywords

supercongruencestruncated hypergeometric seriesclassical hypergeometric series\(p\)-adic Gamma functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Cites Work

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• Hypergeometric functions and a family of algebraic curves
• Hypergeometric evaluation identities and supercongruences
• Supercongruences arising from basic hypergeometric series
• Generalized Legendre polynomials and related supercongruences
• Hypergeometric functions and elliptic curves
• Some supercongruences occurring in truncated hypergeometric series
• Ramanujan-type supercongruences
• Classes of analytic functions associated with the generalized hypergeometric function,
• Finding identities with the WZ method
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• Supercongruences on truncated hypergeometric series
• On the zeta function of a hypersurface. I
• CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES
• Congruences concerning Legendre polynomials
• Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
• Open Conjectures on Congruences
• Some congruences on truncated hypergeometric series
• A $p$-adic supercongruence conjecture of van Hamme
• ₃F₂ HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES
• Hypergeometric Functions Over Finite Fields
• p-Adic Gamma Functions and Dwork Cohomology
• Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
• Supercongruences for truncated hypergeometric series and p-adic gamma function

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