论文标题
斧头和杰出的可合转性
Ax-Schanuel and exceptional integrability
论文作者
论文摘要
何时可以通过迭代求解代数方程来结构给定代数函数的原始词，并与其他一些给定代数函数或其倒置的原始构成？我们在这个方向上建立了一些结果。具体而言，我们建立了确定程序，以确定给定的原始性是否可以根据有限的其他或椭圆形积分来表达。
When can a primitive of a given algebraic function be con-structed by iteratively solving algebraic equations and composing withthe primitives of some other given algebraic functions or their inverses? We establish some results in this direction. Specifically, we establishdecision procedures for determining whether a given primitive can beexpressed in terms of finitely many others, or in terms of elliptic integrals.
