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2020 Motivic multiple zeta values relative to $\mu_2$
Zhongyu Jin, Jiangtao Li
Algebra Number Theory 14(10): 2685-2712 (2020). DOI: 10.2140/ant.2020.14.2685

Abstract

We establish a short exact sequence about depth-graded motivic double zeta values of even weight relative to μ2. We find a basis for the depth-graded motivic double zeta values relative to μ2 of even weight and a basis for the depth-graded motivic triple zeta values relative to μ2 of odd weight. As an application of our main results, we prove Kaneko and Tasaka’s conjectures about the sum odd double zeta values and the classical double zeta values. We also prove an analogue of Kaneko and Tasaka’s conjecture in depth three. Finally, we formulate a conjecture which is related to sum odd multiple zeta values in higher depth.

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Zhongyu Jin. Jiangtao Li. "Motivic multiple zeta values relative to $\mu_2$." Algebra Number Theory 14 (10) 2685 - 2712, 2020. https://doi.org/10.2140/ant.2020.14.2685

Information

Received: 15 May 2019; Revised: 8 September 2019; Accepted: 13 June 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190415
Digital Object Identifier: 10.2140/ant.2020.14.2685

Subjects:
Primary: 11F32
Secondary: 11F67

Rights: Copyright © 2020 Mathematical Sciences Publishers

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