About ten years ago, the handful of peculiar numerical diogarithmic identities, known since the time of Euler and Landen, gave rise to new discoveries concerning cyclotomic equations and related polylogarithmic ladders. These discoveries were made mostly by the methods of classical analysis, with help from machine computation. About the same time, starting with Bloch's studies on the application of the dilogarithm in algebraic K-theory and algebraic geometry, many important discoveries were made in diverse areas. This book ...
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About ten years ago, the handful of peculiar numerical diogarithmic identities, known since the time of Euler and Landen, gave rise to new discoveries concerning cyclotomic equations and related polylogarithmic ladders. These discoveries were made mostly by the methods of classical analysis, with help from machine computation. About the same time, starting with Bloch's studies on the application of the dilogarithm in algebraic K-theory and algebraic geometry, many important discoveries were made in diverse areas. This book seeks to provide a synthesis of these two streams of thought. In addition to an account of ladders and their association with functional equations, the chapters include applications to volume calculations in Lobatchevsky geometry, relations to partition theory, connections with Clausen's function, new functional equations, and applications to K-theory and other branches of abstract algebra. This rapidly-expanding field is brought up to date with two appendices, and the book concludes with an extensive bibliography of recent publications.
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Add this copy of Structural Properties of Polylogarithms (Mathematical to cart. $108.26, very good condition, Sold by Browsers' Bookstore rated 5.0 out of 5 stars, ships from Albany, OR, UNITED STATES, published 1991 by American Mathematical Society.
Add this copy of Structural Properties of Polylogarithms (Mathematical to cart. $147.85, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1991 by American Mathematical Society.
