摘要
研究了Ｒｉｅｍａｎｎ’ｓζ－函数的乘积公式，给出了ζ（ｓ）模的积分表达式。在此基础上，证明了Ｒｉｅｍａｎｎ假设的一个新的充要条件，同时．也建立了Ｌｉｎｄｅｌｏｆ假设一个新的充要条件。
In this paper, the multiplication formulas of Riemunn's zeta-function are investigated, the integral expressions of the moduli of Riemann's zeta - function are also given. On the baseis of the results, a new necessary and sufficient condition for Riemann hpothesic is proved, as well as a new necessary and safficient condition for Lindelof hypothesic is established.
出处
《长沙交通学院学报》
1996年第2期1-6,共6页
Journal of Changsha Communications University
关键词
黎曼
ZETA
乘积公式
黎曼假设
Riemann's zeta - function
multiplication formula
Riemann hypothesis
necessary and sufficient condition
