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On the sum formula for the -analogue of non-strict multiple zeta values
Authors:Yasuo Ohno  Jun-Ichi Okuda
Institution:Department of Mathematics, Kinki University, Higashi-Osaka 577-8502, Japan ; Department of Mathematical Sciences, Science and Engineering, Waseda University, Tokyo 169-8555, Japan
Abstract:In this article, the $ q$-analogues of the linear relations of non-strict multiple zeta values called ``the sum formula' and ``the cyclic sum formula' are established.

Keywords:Multiple zeta values  non-strict multiple zeta values  multiple zeta star values  sum formula  $q$-analogue  $q$-series  basic hypergeometric function  
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