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

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Author/Creator:
Eie, Minking, 1952- author.
Language:
English.
Publication date:
2013
Publication:
New Jersey : World Scientific, [2013]
Copyright notice:
©2013
Format:
  • Book
  • xii, 300 pages : illustrations ; 24 cm.
Bibliography:
Includes bibliographical references (pages 295-297) and index.
Contents:
  • 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.
Summary:
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.
Series:
Monographs in number theory, 1793-8341 ; volume 7
Monographs in number theory ; v. 7.
Subjects:
ISBN:
9789814472630
9814472638

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