Clue for the Riemann Hypothesis
編輯: Henyee Translations
Inspiration always arrived at unexpected times.
Lecturing about the history of the Riemann hypothesis had pointed out some of the details that he ignored when conducting research.
Even though most of the time these details were useless, these irrelevant clues could occasionally play an important role.
After Lu Zhou returned to his office, he sat down at his desk and pulled out a piece of draft paper. He began writing down his thoughts.
"The Riemann hypothesis was proposed to study the π(x). Riemann's pioneering work wasn't on the proposal of the Riemann hypothesis, but it was on using Riemann zeta function to increase the domain of π(x) to complex numbers."
Lu Zhou's pen glided on the paper. He wrote down a line of the equation.
[π(x)=∫dt/lnt+O(x^(1/2+ε)]