论文标题
Newform Dedekind总和的值的代数属性
Algebraic properties of the values of newform Dedekind sums
论文作者
论文摘要
我们研究了与重量零Eisenstein系列$ e_ {χ_1，χ_2} $有关的广义DEDEKIND总和的图像。我们证明，图像是由字符$χ_1$和$χ_2$确定的数字字段内的完整等级的晶格。我们还为经典的Dedekind总和对Knopp的身份进行了概括。
We study the image of a generalized Dedekind sum relating to the weight zero Eisenstein series $E_{χ_1,χ_2}$. We show that the image is a lattice of full rank inside a number field determined by the characters $χ_1$ and $χ_2$. We also give a generalization of Knopp's identity for the classical Dedekind sum.
