A $q$ -analog of the Bailey-Borwein-Bradley identity

preprint2009arXivOpen access

We establish a $q$ -analogue of the Bailey-Borwein-Bradley identity generating accelerated series for even zeta values and prove $q$ -analogues of Markov's and Amdeberhan's series for $ζ(3)$ using the $q$ -Markov-WZ method.

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A $q$ -analog of the Bailey-Borwein-Bradley identity

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A qqq-analog of the Bailey-Borwein-Bradley identity

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A $q$ -analog of the Bailey-Borwein-Bradley identity