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Multiple zeta values and iterated Eisenstein integrals

Abstract:

The affine ring of the motivic path torsor 0Πmot1:= π mot1 (P1\ {0, 1,∞},~10, −~11) is an ind-object in the Tannakian category MT(Z) of mixed Tate motives over the integers [16]. Its periods are Q[(2πi) ±]-linear combinations of multiple zeta values (MZVs). Brown showed that O(0mot1) generates MT(Z) by exhibiting a specific basis for the Q-vector space of motivic MZVs [5...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Number theory
Oxford college:
St Hilda's College
Role:
Author
ORCID:
https://orcid.org/0000-0002-8359-8137

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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