Identities arising from coproducts on multiple zeta values and multiple polylogarithms

The final version of my thesis is available in the Durham e-Theses repository. Alternatively a version of my thesis is hosted here (this version has the correct page numbering, and PDF bookmarks).

Supporting calculations

This page also contains Mathemaica worksheets with supporting calculations for the various identities and theorems in my thesis.

Most worksheets (those dealing with (multiple) polylogarithms) require Claude Duhr's PolylogTools package, which is not yet publicly available.

Each worksheet should function to perform one single stand-alone series of calculations, in order from start to finish, by evaluating the entire worksheet in one go. If there are problems with any worksheet, please let me know at charlton(at)math(dot)uni-tuebingen(dot)de.

Chapter 2: Cyclic insertion

These worksheets require the MZV functions defined in mathmzv2.m.

Chapter 4: Relating weight 5 MPL's

Chapter 5: Dan's reduction

Chapter 6: \( I_{a,b} \) inversion identity

Chapter 7: Goncharov-motivated polylogarithm identities

\( I_{4,1} \) identities

\( I_{5,1} \) identities

\( I_{6,1} \) identities

\( I_{7,1} \) identities