Depth-graded motivic multiple zeta values

DOI10.1112/S0010437X20007654zbMath1481.11084arXiv1301.3053OpenAlexW3136564492MaRDI QIDQ5856143

Francis C. S. Brown

Publication date: 24 March 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3053

zbMATH Keywords

multiple zeta valuesmixed Tate motivesperiod polynomialsprojective line minus three pointsdepth filtrationBroadhurst-Kreimer conjecturezeta elements

Mathematics Subject Classification ID

Galois theory and commutative ring extensions (13B05) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (16)

On the derivation representation of the fundamental Lie algebra of mixed elliptic motives ⋮ Depth-graded motivic Lie algebra ⋮ The depth structure of motivic multiple zeta values ⋮ Evaluation of and period polynomial relations ⋮ Computations about formal multiple zeta spaces defined by binary extended double shuffle relations ⋮ Unit cyclotomic multiple zeta values for \(\mu_2, \mu_3\) and \(\mu_4\) ⋮ ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE ⋮ Unnamed Item ⋮ A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS ⋮ Homology of depth-graded motivic Lie algebras and koszulity ⋮ Hecke eigenform and double Eisenstein series ⋮ Relationships between multiple zeta values of depths 2 and 3 and period polynomials ⋮ Motivic double zeta values of odd weight ⋮ SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES ⋮ Polylogarithms and Multizeta Values in Massless Feynman Amplitudes ⋮ Bigraded Lie algebras related to multiple zeta values

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