On Eisenstein polynomails and zeta polynomials
On Eisenstein polynomails and zeta polynomials
复制标题
关于爱森斯坦多项式和 zeta 多项式
DOI：
10.1016/j.jpaa.2019.01.002
复制
发表时间：
2018
影响因子：
0.8
通讯作者：
Tsuyoshi Miezaki
中科院分区：
文献类型：
--
作者：
Tsuyoshi Miezaki;Hiroyuki Nakasora;Tsuyoshi Miezaki
由大浦定义的爱森斯坦多项式是爱森斯坦级数概念的类似物。Oura证明了Eisenstein级数与Eisenstein多项式之间存在类似的性质。本文给出了Eisenstein多项式和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。
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.