Universal $\mathbb{F}_q-$Family of $v-$adic Multiple Zeta Values over Function Fields

Qibin Shen

Universal $\mathbb{F}_q-$Family of $v-$adic Multiple Zeta Values over Function Fields

Number Theory 2019-12-24 v1 Combinatorics

Authors: Qibin Shen

Abstract

This paper aims to study the $\mathbb{F}_q-$ linear relations between interpolated $v-$ adic multiple zeta values over function fields. We proved a universal family of linear relations of interpolated $v-$ adic MZVs, which is conjectured to generate all linear relations over $\mathbb{F}_q$ . At the end of the paper, we also show that these relations can be generalized to all multiple harmonic type sums.

Keywords

function fields v-adic multiple zeta values linear relations interpolated mzv universal family multiple harmonic sums finite fields

Cite

@article{arxiv.1912.10516,
  title  = {Universal $\mathbb{F}_q-$Family of $v-$adic Multiple Zeta Values over Function Fields},
  author = {Qibin Shen},
  journal= {arXiv preprint arXiv:1912.10516},
  year   = {2019}
}

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21pages

Universal $\mathbb{F}_q-$Family of $v-$adic Multiple Zeta Values over Function Fields

Abstract

Keywords

Cite

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