论文标题

关于仿射最小翻译表面的高度功能

On the height function of the affine minimal translation surfaces

论文作者

Lone, Mohamd Saleem

论文摘要

在本文中,使用Weierstrass-enneper公式和Hodographic坐标系,我们发现了Ramanujan身份与被称为Aggine Scherk表面的一般scherk表面之间的关系。我们发现仿射舍克表面的Dirichlet系列扩展。我们还获得了有关其对数分布的一些概率测量方法。接下来,我们在$ \ mathbb {l}^3 $中对仿射最小翻译表面进行了分类,并在$ \ mathbb {l}^3中评论了类似的表单3. $

In this paper, using the Weierstrass-Enneper formula and the hodographic coordinate system, we find the relationships between the Ramanujan identity and the generalized class of Scherk surfaces known as affine Scherk surfaces. We find the Dirichlet series expansion of the affine Scherk surface. We also obtain some of the probability measures of affine Scherk surface with respect to its logarithmic distribution. Next, we classify the affine minimal translation surfaces in $\mathbb{L}^3$ and remarked the analogous forms in $\mathbb{L}^3.$

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