Some Symmetry and Duality Theorems on Multiple Zeta(-star) Values
Abstract
In this paper, we provide a symmetric formula and a duality formula relating multiple zeta values and zeta-star values. Leveraging Zagier's formula for computing ζ(\2\p,3,\2\q), we employ our theorems to establish a formula for computing ζ(\2\p,1,\2\q) for any positive integers p and q, along with other formulas of interest.
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