Unit cyclotomic multiple zeta values for \(\mu_2, \mu_3\) and \(\mu_4\)

DOI10.1016/j.aim.2023.109466arXiv2007.00173OpenAlexW4390628558MaRDI QIDQ6189379

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Publication date: 8 February 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00173

zbMATH Keywords

cyclotomic fieldmultiple zeta values

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Unnamed Item
• Mixed Tate motives over \(\mathbb{Z}\)
• The unipotent motivic fundamental group of \(\mathbf G_m - \mu_N\), for \(N=2,3,4,6\) or \(8\)
• Motivic unipotent fundamental groupoid of \(\mathbb{G}_m \setminus \mu_N\) for \(N=2,3,4,6,8\) and Galois descents
• Standard relations of multiple polylogarithm values at roots of unity
• Multiple polylogarithms, cyclotomy and modular complexes
• The algebra of multiple harmonic series
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Double shuffles of multiple polylogarithms at roots of unity
• Multiple zeta values of fixed weight, depth, and height
• An odd variant of multiple zeta values
• The depth structure of motivic multiple zeta values
• Groupes fondamentaux motiviques de Tate mixte
• Special values of multiple polylogarithms
• Kontsevich’s integral for the Kauffman polynomial
• Depth-graded motivic multiple zeta values

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