Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.
Periods and mixed motives
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abstract
We define motivic multiple polylogarithms and prove the double shuffle relations for them. We use this to study the motivic fundamental group of the multiplicative group - {N-th roots of unity} and relate it to geometry of modular varieties. In particular we get new information about the actionof the Galois group on the pro-l completion of the above fundamental group. This paper is the second part of "Multiple polylogarithms and mixed Tate motives" math.AG/0103059
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2020 1verdicts
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Integrality of $v$-adic multiple zeta values
Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.