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Convolutions on the complex torus
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2020-11-21 , DOI: 10.1142/s1793042121500391
Marianne Leitner 1, 2
Affiliation  

“Quasi-elliptic” functions can be given a ring structure in two different ways, using either ordinary multiplication, or convolution. The map between the corresponding standard bases is calculated. A related structure has appeared recently in the computation of Feynman integrals. The two approaches are related by a sequence of polynomials closely tied to the Eulerian polynomials.

中文翻译:

复杂环面上的卷积

“准椭圆”函数可以通过两种不同的方式赋予环结构,使用普通乘法或卷积。计算相应标准碱基之间的映射。最近在费曼积分的计算中出现了一个相关的结构。这两种方法通过与欧拉多项式密切相关的一系列多项式相关联。
更新日期:2020-11-21
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