Structural Properties of Polylogarithms (Mathematical Surveys and Monographs): Leonard Lewin

Description

Years ago, the handful of peculiar numerical dilogarithmic 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. About two-thirds of the material is accessible to mathematicians and scientists in many areas, while the remainder requires more specialized background in abstract algebra.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Structural Properties of Polylogarithms (Mathematical Surveys and Monographs): Leonard Lewin" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 3066
2. Model Categories (Mathematical Surveys and Monographs)
3. Recurrence Sequences (Mathematical Surveys and Monographs)
4. The Markoff and Lagrange Spectra (Mathematical Surveys and Monographs)
5. Arithmetic Differential Equations (Mathematical Surveys and Monographs)
6. Crossed Products of C^* Algebras (Mathematical Surveys and Monographs)
7. The Markoff and Lagrange Spectra (Mathematical Surveys and Monographs)
8. Topology of Closed One-Forms (Mathematical Surveys and Monographs)
9. Mirror Symmetry and Algebraic Geometry (Mathematical Surveys and Monographs)
10. Fourier Analysis In Convex Geometry (Mathematical Surveys and Monographs)
11. An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)
12. Invariant Theory of Finite Groups (Mathematical Surveys and Monographs)
13. Rings, Modules, and Algebras in Stable Homotopy Theory (Mathematical Surveys & Monographs)
14. Rings, Modules, and Algebras in Stable Homotopy Theory (Mathematical Surveys & Monographs)
15. [share_ebook] The William Lowell Putnam Mathematical Competition: Problems and Solutions 1965-1984
16. Nonlinear Evolution Equations (Chapman and Hall/CRC Monographs and Surveys in Pure and Applied Mathematics): Songmu Zheng