关于仿射极小平移曲面的高度函数
On the height function of the affine minimal translation surfaces
摘要：
本文利用Weierstrass-Enneper公式和速端坐标系，找到了Ramanujan恒等式与广义Scherk曲面类（仿射Scherk曲面）之间的关系.我们找到了仿射Scherk曲面的狄利克雷级数展开式。我们还得到了仿射Scherk曲面关于其对数分布的一些概率测度。其次，对$\mathbb{L}^3$中的仿射极小平移曲面进行了分类，并对$\mathbb{L}^3.$中的类似形式进行了评述
英文摘要：
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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