2022-01-24T00:27:11Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000294532021-03-01T16:48:10ZThe Algebra of a q-Analogue of Multiple Harmonic Series竹山, 美宏Takeyama, YoshihiroThe authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a q-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra.Institute of Mathematics of National Academy of Sciences of Ukraine2013-10engjournal articlehttp://hdl.handle.net/2241/120169https://tsukuba.repo.nii.ac.jp/records/2945310.3842/SIGMA.2013.0611815-0659Symmetry, integrability and geometry: methods and applications (SIGMA)9061https://tsukuba.repo.nii.ac.jp/record/29453/files/Sigma_9_061.pdfapplication/pdf392.7 kB2014-05-09