On a proof of Xu’s conjecture and depths of Galois descents

Abstract We give an explicit formula proving Xu’s conjecture on alternating double zeta values. We also discuss the limitations of Glanois’ motivic Galois descent criterion in this case, as it cannot specify the depth of the descent.

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Publication Details

Journal
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Published
2026-01-20
DOI
https://doi.org/10.1007/s13398-025-01796-z
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

On a proof of Xu’s conjecture and depths of Galois descents

Steven Charlton
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Advanced Mathematical Identities
article

On a proof of Xu’s conjecture and depths of Galois descents

Steven Charlton
article en

Abstract

Abstract We give an explicit formula proving Xu’s conjecture on alternating double zeta values. We also discuss the limitations of Glanois’ motivic Galois descent criterion in this case, as it cannot specify the depth of the descent.

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A MatemáticasVol. 120(2)
Max Planck Institute for Mathematics (DE)
Reduced inequalities
Openalex Percentile: Top 78%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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On a proof of Xu’s conjecture and depths of Galois descents — Steven Charlton · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas (2026) | TGRS Research Map | TGRS