Abstract
p-adic cyclotomic multiple zeta values depend on the choice of a number of iterations of the crystalline Frobenius of the pro-unipotent fundamental groupoid of P1 \ {0, µN, ∞}. In this paper we study how the iterated Frobenius depends on the number of iterations, in relation with the computation of p-adic cyclotomic multiple zeta values in terms of cyclotomic multiple harmonic sums. This provides new results on that computation and the definition of a new pro-unipotent harmonic action.
| Original language | English |
|---|---|
| Pages (from-to) | 1711-1746 |
| Number of pages | 36 |
| Journal | Algebra and Number Theory |
| Volume | 14 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1 Jan 2020 |
Keywords
- Crystalline Frobenius
- Cyclotomic multiple harmonic sums
- P-adic cyclotomic multiple zeta values
- Pro-unipotent fundamental groupoid
- Pro-unipotent harmonic actions
- Projective line minus three points
ASJC Scopus subject areas
- Algebra and Number Theory