Zeros of zeta functions (Q2910119)

The author gives a survey on some results on the explicit location of the zeros of the Riemann zeta-function. In this study, the central role plays the Riemann-Siegel formula. There are given examples satisfying the Riemann hypothesis but not having Montgomery's pair correlation conjecture, i.e., when zeros of the zeta-function behave regularly. Some facts on the zeros of Weng's zeta-functions are also presented.NEWLINENEWLINEThe paper is profitable to the large number of mathematicians who are interested on the development of the theory of zeta-functions.