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Deformation and Symmetry in Two Hypergeometric Supercongruences

Bao, Dianbin
arXiv (All) · Papers
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11f80number-theory
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,
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