Abstract
We derive a \(q\)-generalization of Euler’s decomposition formula for the \(q\)MZVs recently introduced by Y. Ohno, J. Okuda, and W. Zudilin. This answers a question posed by these authors in J Number Theory 132, 144–155 (2012).
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Acknowledgments
We thank the Referee for useful remarks, yielding a great simplification in the proof of Lemma 11. The first author gratefully acknowledges the support by the ICMAT Severo Ochoa Excellence Program. He would like to thank ICMAT for warm hospitality during his visit. The second author is supported by a Ramón y Cajal research grant from the Spanish government. K. E. F. and D. M. were supported by the CNRS (GDR Renormalisation).
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Medina, J.C., Ebrahimi-Fard, K. & Manchon, D. On Euler’s decomposition formula for \(q\)MZVs. Ramanujan J 37, 365–389 (2015). https://doi.org/10.1007/s11139-014-9638-8
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DOI: https://doi.org/10.1007/s11139-014-9638-8