多重调和q级数代数上的导子及其应用
数论
2019-06-04 v2
摘要
我们引入多重调和q级数代数上的导子,并证明它们生成了q级数之间的线性关系,这些关系包含了Bradley所给出的多重zeta值q类比的导子关系。作为副产品,我们获得了在单位根处有限多重调和q系列的Ohno型关系。
引用
@article{arxiv.1806.04837,
title = {Derivations on the algebra of multiple harmonic q-series and their applications},
author = {Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:1806.04837},
year = {2019}
}
备注
21 pages, no figure. This is a pre-print of an article published in The Ramanujan Journal. The final authenticated version is available online at: https://doi.org/10.1007/s11139-019-00139-y