The Algebra Of Multiple Zeta Values
نویسندگان
چکیده
The Multiple Zeta Values (or ‘MZVs’) have been investigated a great deal in recent years, yielding a wealth of interesting results and exciting conjectures. The aim of this report is to introduce the MZVs and their relations, and to display some of the techniques being used in modern research to describe them. We being with an emphasis on the combinatorial methods of describing the MZVs, and then develop this work into a more rigorous algebraic study. In particular we investigate the Hopf algebras associated with the MZVs, which allow us to find more general forms of known results. We then produce two Lie algebras which are shown to have interesting connections to the MZVs, and indicate the need for further study.
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