Some q-Supercongruences from Singh’s Quadratic Transformation

Citation:

Victor J. W. GUO.Some q-Supercongruences from Singh’s Quadratic Transformation[J].Chinese Annals of Mathematics B,2025,46(5):725~732
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Authors:

Victor J. W. GUO;
Abstract: Applying Singh’s quadratic transformation and the “creative microscoping” method (introduced by the author and Zudilin in 2019), the author proves several new qsupercongruences for truncated 4φ3 series. Some related conjectures on q-supercongruences are also presented.

Keywords:

Cyclotomic polynomials  q-Supercongruences  Singh’s quadratic transformation  Creative microscoping

Classification:

33D15, 11A07, 11B65
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