Series on number theory and its applications· 2015Q4· Book chapter
Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
- 128citations
- Q4SCImago
- 2015year
Short summary
This book provides the first introductory overview of multiple zeta functions and multiple polylogarithms, which extend the Riemann zeta function and classical polylogarithms to multiple variables.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces multiple zeta functions and multiple polylogarithms as generalizations of classical functions.
- Covers basic concepts, important properties, and special values of these functions.
- Explores relations to other mathematical subjects, q-analogs, and finite versions.
- Includes historical notes and exercises for graduate students, mathematicians, and physicists.
AI-generated from the title and abstract; the full text is not read.
Abstract
"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."--Provided by publisher
The authors' abstract, as published at the source. Series on number theory and its applications, 2015 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics