Some congruences on truncated hypergeometric series
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Abstract:
We establish some congruences on truncated hypergeometric series. In particular, we confirm some congruences conjectured by Z.-W. Sun and two conjectures of L. van Hamme.References
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Additional Information
- Bing He
- Affiliation: Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, People’s Republic of China
- Address at time of publication: Department of Applied Mathematics, College of Science, Northwest A&F University, Yangling, Shaanxi 712100, People’s Republic of China
- MR Author ID: 1079617
- Email: yuhe001@foxmail.com
- Received by editor(s): August 1, 2014
- Received by editor(s) in revised form: October 23, 2014
- Published electronically: August 12, 2015
- Communicated by: Kathrin Bringmann
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 5173-5180
- MSC (2010): Primary 11A07; Secondary 33C20, 33C05
- DOI: https://doi.org/10.1090/proc/12695
- MathSciNet review: 3411135