tag:blogger.com,1999:blog-264226589944705290.post2503660911764341440..comments2024-09-25T08:51:01.854-07:00Comments on God Plays Dice: The Riemann hypothesis is probabilisticMichael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-264226589944705290.post-44574011948948856202010-03-02T04:53:39.222-08:002010-03-02T04:53:39.222-08:00In my paper The Prime Counting function and the Ri...In my paper The Prime Counting function and the Riemann Hypothesis, I show that sum(arctan(tan(Pi*bernoulli(2n)*GAMMA(2n+1))*(2n+1), n=1..M), M=x/2 for even, M=x/2-1/2 for odd x is a prime counting function. The function is related to a series representation of the Zeta function when it vanishes. The primes are not random. They obey a simple rule: theta=arctan(tan(theta), which implies that the fractional part of theta is is a prime for primes p=2n+1, and zero for non-primes. Using Staudt Clausen, I proved this point. The above form is related to the exponential function and the fact that when the zeta function vanishes, then s/(s-1)=exp(2 i theta), then s must be 1/2 + i/2 tan(theta). My paper was not even looked at because Jams is too busy. I also show that the GUE is true, and that the prime counting function is a Heaviside step function, when the limit of the root form above is taken to infinity. I am still looking for a journal to take a serius look at my paper. It is correct. But being an outside academia mathematician, my unknown name is equivalent to a paper thrown into the dust bin. Help!! <br />Michael M. Anthony, <br />uinvent@aol.commichael anthonyhttps://www.blogger.com/profile/14636543688775722523noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-63736295671367498302008-02-12T22:22:00.000-08:002008-02-12T22:22:00.000-08:00Erdos did not make the "something strange is going...Erdos did not make the "something strange is going on with the primes" statement. Carl Pomerance presented it, after the death of Erdos, as a way of interpreting some of Erdos' work. Through a misinterpretation, it got attributed to Erdos. <BR/><BR/>Gerry MyersonAnonymousnoreply@blogger.com