English

Alternating multizeta values in positive characteristic

Number Theory 2019-09-10 v1

Abstract

We introduce alternating multizeta values in positive characteristic which are generalizations of Thakur multizeta values. We establish their fundamental properties including non-vanishing, sum-shuffle relations, period interpretation and linear independence which is a direct sum result for these values.

Keywords

Cite

@article{arxiv.1909.03849,
  title  = {Alternating multizeta values in positive characteristic},
  author = {Ryotaro Harada},
  journal= {arXiv preprint arXiv:1909.03849},
  year   = {2019}
}

Comments

27 pages

R2 v1 2026-06-23T11:09:43.523Z