Includes bibliographical references (pages 295-297) and index.
The time before multiple zeta values
Introduction to the theory of multiple zeta values
The sum formula
Some shuffle relations
Euler decomposition theorem
5. Multiple zeta values of height two
Generalizations of Pascal identity
Combinatorial identities of convolution type
Vector versions of some combinatorial identities
This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations and shuffle relations. The volume will benefit graduate students doing research in number theory -- P. 4 of cover.