Riemann Hypothesis Explorer
- timothy george
This allows one to explore the famous Riemann Hypothesis. The hypothesis states that all the zeros of the zeta function lie on the line s=a+bi, with a=1/2. You can use the sliders to adjust the values for s=a+bi. The resulting value is the calculation of the zeta function. the point f=g+hi represents the mapping of s=a+bi, and zeta represents this f=g+hi times the infinite series contained in the equation. This is the first implementation that the author knows of which allows one to calculate the zeta function other than the know even integers, but also confirms that zeta(0)=-1/2. Besides this is a Millenium problem worth one million dollars. See if you can manipulate the sliders for a=1/2 to make zeta=0 and you could be a million dollars richer! The author has taken extensive measure to make advanced number theory accessible to advanced high school students. Enjoy, Timothy A. George
Research the Riemann Hypothesis. Can you manipulate the sliders such that f = 0? Be the first and win a million dollars.