mersenneforum.org > Math Another generalised RH?
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 2007-12-24, 06:58 #1 devarajkandadai     May 2004 13C16 Posts Another generalised RH? The Generalised Riemann Hypothesis Just as 0 is a point of collective convergence for infinitely many points on the critical line, 1 seems to be a point of collective convergence for many points in the region to the right of 1 on the co-axial plane. This seems evident from the following program in pari: Let s= 2 +3*I. {p(k)=zeta( 2 + 3*I +k*zeta(2+3*I))} for(k=1,200,print p(k))) (Incidentally I thank Maxal for giving me preliminary training in programming in pari). In the above the collective convergence seems to commence from k= 125(approx) onwards. Needless to say the value of k when collective convergence commences differs for differenct values of s. In short, for 0 the critical line is 1/2;for 1, the critical region is the portion of the axial plane to the right of 1.Are there other points of collective convergence? Last fiddled with by devarajkandadai on 2007-12-24 at 07:00

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