The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann's zeta-function which are sufficiently strong to break the density hypothesis for Re s>7/8.Apart from...The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann's zeta-function which are sufficiently strong to break the density hypothesis for Re s>7/8.Apart from a simple but ingenious idea of Halász the proof uses only classical knowledge about the zeta-function,results known for at least hundred years.展开更多
基金supported by the National Research Development and Innovation Office of Hungary,NKFIH,KKP 133819。
文摘The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann's zeta-function which are sufficiently strong to break the density hypothesis for Re s>7/8.Apart from a simple but ingenious idea of Halász the proof uses only classical knowledge about the zeta-function,results known for at least hundred years.
