The kernel of newform Dedekind sums
The kernel of newform Dedekind sums
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DOI：
10.1016/j.jnt.2020.10.005
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发表时间：
2020-08
影响因子：
0.7
通讯作者：
Evuilynn Nguyen;Juan Ramirez;M. Young
中科院分区：
文献类型：
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作者：
Evuilynn Nguyen;Juan Ramirez;M. Young
新形式戴德金和是一类交叉同态，源自新形式爱森斯坦级数。我们开始研究这些新形式的戴德金和的核心。我们的结果可以粗略地描述为表明这些内核既不是“太大”也不是“太小”。最后，我们对戴德金和的伽罗瓦作用进行了观察，这使得戴德金和的数值计算具有显着的计算效率。
Newform Dedekind sums are a class of crossed homomorphisms that arise from newform Eisenstein series. We initiate a study of the kernel of these newform Dedekind sums. Our results can be loosely described as showing that these kernels are neither “too big” nor “too small.” We conclude with an observation about the Galois action on Dedekind sums that allows for significant computational efficiency in the numerical calculation of Dedekind sums.