A p-adic analogue of a formula of Ramanujan
- First Online:
- 85 Downloads
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of the Gamma function. Based on numerical computations, Van Hamme recently conjectured p-adic analogues to such formulae. Using a combination of ordinary and Gaussian hypergeometric series, we prove one of these conjectures.
Keywords.Gaussian hypergeometric series supercongruences
Mathematics Subject Classification (2000).Primary 33C20 Secondary 11S80
Unable to display preview. Download preview PDF.