Journal article
Depth-graded motivic multiple zeta values
- Abstract:
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We study the depth filtration on multiple zeta values, on the motivic Galois group of mixed Tate motives over Z and on the Grothendieck–Teichmüller group, and its relation to modular forms. Using period polynomials for cusp forms for SL2(Z), we construct an explicit Lie algebra of solutions to the linearized double shuffle equations, which gives a conjectural description of all identities between multiple zeta values modulo ζ(2) and modulo lower depth. We formulate a single conjecture about t...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, 769.5KB)
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- Publisher copy:
- 10.1112/S0010437X20007654
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Authors
Bibliographic Details
- Publisher:
- Foundation Compositio Mathematica Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 157
- Issue:
- 3
- Pages:
- 529-572
- Publication date:
- 2021-03-22
- Acceptance date:
- 2020-10-08
- DOI:
- EISSN:
-
1570-5846
- ISSN:
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0010-437X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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1136517
- Local pid:
- pubs:1136517
- Deposit date:
- 2020-10-08
Terms of use
- Copyright holder:
- Francis Brown
- Copyright date:
- 2021
- Rights statement:
- © The Author(s) 2021. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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