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arXiv 1807.02744math.COmath.NT
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关于艾森斯坦多项式和zeta多项式

On Eisenstein polynomials and zeta polynomials

Tsuyoshi Miezaki

摘要:

艾森斯坦多项式,这是由大浦定义,是类似的概念爱森斯坦系列。欧拉证明了爱森斯坦级数与艾森斯坦多项式之间存在类似的性质。本文给出了艾森斯坦多项式与zeta多项式的新的类似性质。这些性质是爱森斯坦级数某些性质的有限类比。

英文摘要:

Eisenstein polynomials, which were defined by Oura, are analogues of the concept of an Eisenstein series. Oura conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In this paper, we provide new analogous properties of Eisenstein polynomials and zeta polynomials. These properties are finite analogies of certain properties of Eisenstein series.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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