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Supercongruences arising from basic hypergeometric series

Article ID Journal Published Year Pages File Type
8897223 Journal of Number Theory 2017 10 Pages PDF
Abstract
We employ some formulas on basic hypergeometric series and hypergeometric series and the p-adic Gamma function to establish several new supercongruences.
Keywords
33D1533B1511A0733C20p-Adic gamma functionSupercongruenceprimarysecondaryHypergeometric seriesBasic hypergeometric series
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Supercongruences arising from basic hypergeometric series
Authors
Bing He,
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Journal
Journal of Number Theory
Journal: Journal of Number Theory
Related Categories
33D15
33B15
11A07
33C20
p-Adic gamma function
Supercongruence
primary
secondary
Hypergeometric series
Basic hypergeometric series
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
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Journal of Pure and Applied Algebra
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