SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

By F. Brown. Forum of Mathematics, Sigma, 2014

139 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/3700d98409d825e88be1f8bcd131eb77727925ee

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Falko Dulat
2. C. Cheung
3. Claude Duhr
4. Gudrun Heinrich

In Discrete Mathematics and Combinatorics

1. Claude Duhr
2. Falko Dulat

In Spectroscopy

1. Claude Duhr
2. Falko Dulat

Citations in the corpus

• PolyLogTools — polylogs for the masses (2019, background): “582240526465012505902656320159680108746 Out[7]:= -Pi^2/12 + Log[2]^2/2 Out[8]:= -Pi^2/12 + Log[2]^2/2”
• Unifying relations for scattering amplitudes (2017, background): “Interestingly, when taking AG+α′ ∼ Aclosed to be amplitudes of the closed superstring, we find that the right-hand side corresponds not to open superstring amplitudes, but to the so-called single value projection [14] [15–17] of the open-string amplitudes, AYM+α′ ∼ ASV open.”