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Structural Properties of Polylogarithms - AMS Mathematics Book

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Description

Explore the deep connections between classical analysis and modern algebraic geometry in this specialized mathematical text. Structural Properties of Polylogarithms provides a comprehensive synthesis of two major research streams. It bridges the gap between historical numerical dilogarithmic identities, known since the era of Euler and Landen, and contemporary discoveries in algebraic K-theory and algebraic geometry. This volume traces the evolution of polylogarithmic research, from early studies of cyclotomic equations and polylogarithmic ladders to the influential work of Bloch. By combining methods of classical analysis with insights from machine computation, the book offers a unified perspective on how these mathematical structures function across diverse areas of study. It is an essential resource for researchers and students interested in the application of the dilogarithm within advanced mathematical frameworks.

Key Features

Provides a comprehensive synthesis of classical analysis and modern algebraic geometry research.

Covers historical dilogarithmic identities dating back to the work of Euler and Landen.

Explores the application of the dilogarithm in algebraic K-theory and algebraic geometry.

Discusses discoveries related to cyclotomic equations and polylogarithmic ladders.

Integrates insights from machine computation with traditional mathematical methods.

Part of the Mathematical Surveys and Monographs series from the American Mathematical Society.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
02 July 1992
Listed Since
17 October 2006

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