Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values

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A01=Jianqiang Zhao
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Author_Jianqiang Zhao
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Category1=Non-Fiction
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Category=PBK
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Double Shuffle Relations
Drinfeld Associator
eq_isMigrated=2
eq_nobargain
Language_English
Mixed Hodge Structures
Multiple Harmonic Sums
Multiple Polylogarithms
Multiple Zeta Functions
Multiple Zeta Values
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Polylogarithms
Price_€100 and above
PS=Active
q-analogs
Quasi-symmetric Functions
Regularizations
softlaunch
Zeta Functions

Product details

  • ISBN 9789814689397
  • Publication Date: 28 Apr 2016
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.This book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relation to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.

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