TY  - BOOK
AU  - Eie,Minking
TI  - Theory of multiple zeta values with applications in combinatorics
T2  - Monographs in number theory
SN  - 9789814472630 (hardback)
U1  - 515.56 23
PY  - 2013///
CY  - Singapore
PB  - World Scientific
KW  - Zeta Functions
KW  - Functions of complex variables
KW  - Combinatorial analysis
KW  - MATHEMATICS / Calculus
N1  - Includes bibliographical references (pages 295-297) and index; 1. Introduction to the theory of multiple zeta values -- 
2. The sum formula -- 
3. Some shuffle relations -- 
4. Euler decomposition theorem -- 
5. Multiple zeta values of height two -- 
6. Generalizations of Pascal identity -- 
7. Combinatorial identities of convolution type -- 
8. Vector versions of some combinatorial identities -- Appendices--

Bibliography--
Index
N2  - 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 --
ER  -