摘要
本文基于原始文献,利用历史分析和比较的方法,首次研究了盖尔范德在整值整函数理论方面的工作及影响.他的工作奠定了该理论发展的重要方向.文章分析了其工作背景;研究了他的有关工作,揭示了其思想的演变过程;探讨了其工作的重要影响.
This paper first studies A. O. Gelfond′s work and influence on theory of integer valued entire functions based on the original material by historical analysis and comparative method.In 1915,G.P ＆#243; lya initiated the study of this theory.Further refinements are due to a number of authors including A.O.Gelfond. His work laid an important direction for the development of this theory. This article analyzes the background of his work;It studies his related work and reveals the evolution of his thought;It investigates some important influence on others.
出处
《纯粹数学与应用数学》
2016年第3期252-262,共11页
Pure and Applied Mathematics
基金
国家自然科学基金(11571276)
关键词
盖尔范德
整值整函数
插值级数
超越数理论
多项式理论
A. O. Gelfond
integer valued entir functions
interpolation series
transcendental number theory
polynomial
