Prime numbers as a uniqueness set of the parallelogram equation via the Goldbach's conjecture

60度平行四边形上的Cardy公式类比：一种模方法

Analogue of Cardy's formula on the 60-degree parallelogram: a modular approach

该研究将矩形上的Cardy公式类比到60度平行四边形，推导了Cardy-Smirnov函数的共形映射与模形式积分公式，并证明其唯一性，完善了临界渗流相关的模理论结果。

Number Theories

We will see that key concepts of number theory can be defined for arbitrary operations. We give a generalized distributivity for hyperoperations (usual arithmetic operations and operations going beyond exponentiation) and a generalization of the fundamental theorem of arithmetic for hyperoperations. We also give a generalized definition of the prime numbers that are associated to an arbitrary n-ary operation and take a few steps toward the development of its modulo arithmetic by investigating a generalized form of Fermat's little theorem. Those constructions give an interesting way to interpre…