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The multiple zeta values (MZV) are a set of real numbers with a beautifulstructure as an algebra over the rational numbers. They are related to maybethe most important conjecture on mathematics today, the Riemann hypothesis. Inthis paper we will show partial solutions to five well known conjectures aboutthe MZV which we partially proved using just linear systems and shufflesproducts. We saw that to partially solve four of this conjectures we only needlinear algebra.

A few conjectures about the multiple zeta values