Generalized single-valued hyperlogarithms

2021/11/22 by Oliver Schnetz, Schnetz, Oliver · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Constraint Satisfaction and Optimization #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.2111.11246

35 pages

arxiv created 2021/11/22 · openalex publication_date 2021/11/22 · arxiv updated 2021/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Single-valued hyperlogarithms are generalized to include primitives of differential forms d z/(azz+bz+cz+d), a,b,c,d∈ℂ, where z is the complex conjugate of the variable z∈ℂ. The construction of these generalized single-valued hyperlogarithms (GSVHs) relies on a commutative hexagon which allows one to express primitives as anti-primitives. The article provides a proved constructive theory of GSVHs.

Citations

• Single-valued periods and multiple zeta values

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