Dian-Bin Bao

Deformation and Symmetry in Two Hypergeometric Supercongruences

We prove two supercongruence conjectures of Li--Long--Tu concerning truncated very-well-poised ${}_7F_6(1)$ series and Fourier coefficients of modular forms. The proofs are based on a common deformation method. By deforming the original truncated hypergeometric series to suitable terminating series, we are able to appl...