Elliptic multiple zeta values
Elliptic multiple zeta values
复制标题
椭圆多重 zeta 值
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Nils Matthes
中科院分区：
文献类型：
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作者：
Nils Matthes
本文证明了形式幂级数环Z[[q]]的分式域上不定迭代Eisenstein积分的线性无关性。我们的证明依赖于Deneufchâtel，Duchamp，Minh和所罗门建立的迭代积分线性独立性的一般准则。作为推论，我们得到了C-线性无关的不定迭代Eisenstein积分，这有应用的椭圆形多个zeta值的研究，定义的恩里克斯。
We prove linear independence of indefinite iterated Eisenstein integrals over the fraction field of the ring of formal power series Z[[q]]. Our proof relies on a general criterium for linear independence of iterated integrals, which has been established by Deneufchâtel, Duchamp, Minh and Solomon. As a corollary, we obtain C-linear independence of indefinite iterated Eisenstein integrals, which has applications to the study of elliptic multiple zeta values, as defined by Enriquez.