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Forum of Mathematics Sigma· 2014Q1

SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

Francis Brown

Short summary

The values at 1 of single-valued multiple polylogarithms form a specific subalgebra within the broader set of multiple zeta values.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Single-valued multiple polylogarithms evaluated at 1 form a subalgebra of multiple zeta values.
  • The structure of this subalgebra is analyzed using the theory of motivic periods.
  • This work provides a motivic perspective on the algebraic properties of these specific values.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract The values at 1 of single-valued multiple polylogarithms span a certain subalgebra of multiple zeta values. The properties of this algebra are studied from the point of view of motivic periods.

The authors' abstract, as published at the source. Forum of Mathematics Sigma, 2014 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics