不定迭代 Eisenstein 积分的线性无关性
数论
2017-12-27 v2
摘要
我们证明了不定迭代 Eisenstein 积分在形式幂级数环 的分式域上的线性无关性。我们的证明依赖于由 Deneufchâtel、Duchamp、Minh 和 Solomon 建立的迭代积分线性无关的一般判据。作为推论，我们得到了不定迭代 Eisenstein 积分的 -线性无关性，这在 Enriquez 所定义的椭圆多重 zeta 值的研究中有应用。
引用
@article{arxiv.1601.05743,
title = {Linear independence of indefinite iterated Eisenstein integrals},
author = {Nils Matthes},
journal= {arXiv preprint arXiv:1601.05743},
year = {2017}
}
备注
The content of this paper has been incorporated into the joint paper arXiv:1703.09410 of the author. Furthermore, the main result of the present paper has been generalized substantially in arXiv:1708.04561 by the author. For these two reasons, the present paper has become obsolete and was withdrawn