Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8966100 | Journal of Pure and Applied Algebra | 2019 | 15 Pages |
Abstract
The cyclotomic p-adic multi-zeta values are the p-adic periods of Ï1uni(GmâμM,â
), the unipotent fundamental group of the multiplicative group minus the M-th roots of unity. In this paper, we compute the cyclotomic p-adic multi-zeta values at all depths. This paper generalizes the results in [9] and [10]. Since the main result gives quite explicit formulas we expect it to be useful in proving non-vanishing and transcendence results for these p-adic periods and also, through the use of p-adic Hodge theory, in proving non-triviality results for the corresponding p-adic Galois representations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sinan Ãnver,