The Theory of Multiple Zeta Values with Applications in Combinatorics

Nonfiction, Science & Nature, Mathematics, Combinatorics, Number Theory
Cover of the book The Theory of Multiple Zeta Values with Applications in Combinatorics by Minking Eie, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Minking Eie ISBN: 9789814472654
Publisher: World Scientific Publishing Company Publication: May 22, 2013
Imprint: WSPC Language: English
Author: Minking Eie
ISBN: 9789814472654
Publisher: World Scientific Publishing Company
Publication: May 22, 2013
Imprint: WSPC
Language: English

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.

Contents:

  • 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 and Their Generalizations

Readership: Graduate students and researchers in number theory.
Key Features:

  • Can be considered textbook material for PhD students in number theory, studying multiple zeta values
  • Invaluable reference with deep applications in combinatorics
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students and researchers in number theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Typhoon Turning Atlas by Minking Eie
Cover of the book China and the Group 20 by Minking Eie
Cover of the book Around the World with Nephrology by Minking Eie
Cover of the book 50 Years of Singapore-Europe Relations by Minking Eie
Cover of the book The Region and Trade by Minking Eie
Cover of the book Game Theory by Minking Eie
Cover of the book Global Sustainability Inside and Outside the Territory by Minking Eie
Cover of the book Sustainability Matters by Minking Eie
Cover of the book Computer Aided Design of Micro- and Nanoelectronic Devices by Minking Eie
Cover of the book Rethinking Chinese Jurisprudence and Exploring Its Future by Minking Eie
Cover of the book Mathematics and Its Teaching in the Southern Americas by Minking Eie
Cover of the book Achieving the Rare by Minking Eie
Cover of the book Asian Alterity by Minking Eie
Cover of the book Emergent Phenomena in Atomic Nuclei from Large-Scale Modeling by Minking Eie
Cover of the book Topological Polymer Chemistry by Minking Eie
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy