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Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values
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Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values

Book Details

Format Hardback or Cased Book
ISBN-10 9814689394
ISBN-13 9789814689397
Publisher World Scientific Publishing Co Pte Ltd
Imprint World Scientific Publishing Co Pte Ltd
Country of Manufacture GB
Country of Publication GB
Publication Date Apr 28th, 2016
Print length 620 Pages
Weight 1,020 grams
Dimensions 23.90 x 16.20 x 3.80 cms
Product Classification: Number theory
Ksh 35,100.00
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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.

 

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.

The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations 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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