Theory Of Multiple Zeta Values With Applications In Combinatorics, The

Basic Theory of Multiple Zeta Values: The Time Before Multiple Zeta Values; Introduction to the Theory of Multiple Zeta Values; The Sum Formula; Shuffle Relations among Multiple Zeta Values: Some Shuffle Relations; Euler Decomposition Theorem; Multiple Zeta Values of Height Two; Applications of Shuffle Relations in Combinatorics: Generalizations of Pascal Identity; Combinatorial Identities of Convolution Type; Vector Version of Some Combinatorial Identities; Appendices: Singular Modular Forms on the Exceptional Domain; Shuffle Product Formulas of Multiple Zeta Values; The Sum Formula, the Restricted Sum Formula, their Generalizations and Applications.