Research toward to construct a concrete theory of Abelian functions

目前，我们不可能讨论没有三角函数的世界。阿贝尔函数是高度泛化三角函数的高级函数，在未来无疑将是非常重要的函数。任何阿贝尔函数都有一个称为“属”的数。三角函数属0，椭圆函数属1。虽然这些函数具有非常具体的理论，但属大于1的阿贝尔函数在具体理论方面却很差。通过这个项目，我构建了一个非常具体的理论的阿贝尔函数的属大于1。

Currently, it is impossible for us to discuss the World without trgonometric functions. Abelian functions are advanced functions that highly generalizes the trigonomatric functions, and will be, no doubt, very important functions in the future. Any Abelian function has a number that called "genus". Trigonometric functions are of genus 0 and elliptic functions are of genus 1. Athough these functions have very concrete theory, Abelian functions of genus greater than 1 has so poor in concrete theory. Through this project I constructed a very concrete theory of Abelian functions of genus greater than 1.