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January 22, 2026Open Access

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

Key Points

This research aims to provide a proof for Xu’s conjecture regarding alternating double zeta values.
Derivation of an explicit formula for Xu's conjecture.
Analysis of Galois' motivic Galois descent criterion.
Confirmed Xu's conjecture with a new formula.
Identified limitations in specifying the depth of Galois descents.

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.

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Cite This Study

Steven Charlton (Tue,) studied this question.

synapsesocial.com/papers/6971be2c642b1836717e2d0e https://doi.org/https://doi.org/10.1007/s13398-025-01796-z

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