Multiple polylogarithms, cyclotomy and modular complexes
A.B. Goncharov
TL;DR
This paper explores the relationships between multiple polylogarithms, cyclotomic fields, and modular complexes, providing new insights into their algebraic and geometric structures.
Contribution
It introduces novel connections between polylogarithms and cyclotomic and modular structures, advancing the understanding of their interplay in number theory.
Findings
Established links between multiple polylogarithms and cyclotomic fields
Developed modular complex frameworks for polylogarithms
Provided new algebraic identities involving polylogarithms
Abstract
This is a copy of the article published in Math Res. Letters 5, (1998) 497-516.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics