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On two conjectural series for $π$ and their $q$-analogues

Published 21 Nov 2022 in math.NT and math.CO | (2211.11484v3)

Abstract: In terms of the operator method, we prove two conjectural series for $\pi$ of Sun involving harmonic numbers of order two. Furthermore, we also give $q$-analogues of six $\pi$-formulas including the two ones just mentioned.

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