Hilbert ’ s Sixth Problem ∗
نویسنده
چکیده
This talk will come in four parts. First, I will introduce the Riemann hypothesis (RH) as it was first introduced, using the Riemann zeta function, and discuss briefly its connection to number theory and prime numbers. Second, I will make this connection explicit by discussion a famous problem equivalent to RH. Third, I will examine the generalised Riemann hypothesis (GRH) and, finally, will list some other interesting things implied by RH and GRH. Parts of this talk were taking from Wikipedia, Terry Tao’s Wordpress [1], a paper by Thomas Wright [3], MathOverflow [2], and the official problem statement of the Riemann Hypothesis from the Clay Mathematics Institute written by E. Bombieri [4].
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