等号付き多重ゼータ値の双対和の母関数について

概要

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OHNO, Yasuo[Abstract] Multiple zeta values are known to be related to many objects, for example, hypergeometric functions, knot invariants, Feynman diagrams and so on. In this article, duality property of multiple zeta-star values is considered and a generating function representation for conjectural duality is given. Numerical data on the duality property for multiple zeta-star values using Hoffman's basis, up to weight 8, are also given.