当前位置: X-MOL 学术Int. J. Number Theory › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Dedekind sums arising from newform Eisenstein series
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2020-06-12 , DOI: 10.1142/s1793042120501092
T. Stucker 1 , A. Vennos 2 , M. P. Young 3
Affiliation  

For primitive nontrivial Dirichlet characters [Formula: see text] and [Formula: see text], we study the weight zero newform Eisenstein series [Formula: see text] at [Formula: see text]. The holomorphic part of this function has a transformation rule that we express in finite terms as a generalized Dedekind sum. This gives rise to the explicit construction (in finite terms) of elements of [Formula: see text]. We also give a short proof of the reciprocity formula for this Dedekind sum.

中文翻译:

新形式的爱森斯坦级数产生的戴德金和

对于原始的非平凡狄利克雷字符[公式:见文本]和[公式:见文本],我们在[公式:见文本]处研究了权重为零的新形式爱森斯坦系列[公式:见文本]。这个函数的全纯部分有一个变换规则,我们用有限项表示为广义 Dedekind 和。这导致了[公式:见正文]的元素的显式构造(以有限的形式)。我们还给出了这个 Dedekind 和的互惠公式的简短证明。
更新日期:2020-06-12
down
wechat
bug