Guo–Zudilin q-analogue with half truncation
Guo–Zudilin q-analogue with half truncation
Let be the -shifted factorial, let be the th cyclotomic polynomial, and let be odd and . Guo–Zudilin's half-truncation q-conjecture. Modulo ,
This is the natural half-truncated -analogue of the corresponding equivalent classical supercongruence. The source explicitly notes that this conjecture is not equivalent to the full-truncation -conjecture, and gives no resolution.
Sources & referencesView supporting material
Primary source
Victor J. W. Guo, “q-Analogues of Dwork-type supercongruences”, arXiv:1910.07551 (2019).
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