The theory of multiple zeta values with applications in combinatorics / Minking Eie.

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. Thi...

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Bibliographic Details
Uniform Title:Monographs in number theory ; v. 7.
Main Author: Eie, Minking, 1952- (Author)
Language:English
Published: New Jersey : World Scientific, [2013]
Series:Monographs in number theory ; v. 7.
Subjects:
Physical Description:xii, 300 pages : illustrations ; 24 cm.
Format: Book

MARC

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264 1 |a New Jersey :  |b World Scientific,  |c [2013] 
300 |a xii, 300 pages :  |b illustrations ;  |c 24 cm. 
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490 1 |a Monographs in number theory,  |x 1793-8341 ;  |v volume 7 
504 |a Includes bibliographical references (pages 295-297) and index. 
505 0 |a Preface -- 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 -- Appendices. 
520 3 |a 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. 
650 0 |a Functions, Zeta.  |0 http://id.loc.gov/authorities/subjects/sh85052354 
650 0 |a Functions of complex variables.  |0 http://id.loc.gov/authorities/subjects/sh85052356 
650 0 |a Combinatorial analysis.  |0 http://id.loc.gov/authorities/subjects/sh85028802 
830 0 |a Monographs in number theory ;  |v v. 7.  |0 http://id.loc.gov/authorities/names/no2009064241 
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