Georgi Guninski on Mon, 03 Feb 2014 14:42:02 +0100 |
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How to count the zeros in interval of real or complex function in pari? |
I would like to count the zeros in interval of real or complex function in pari or some other software. As far as I can tell this is related to the argument principle and possibly to |intcirc()|. The functions I am interested in are: real: P(x)=sin(Pi*x)^2+sin(Pi*(gamma(x)+1) /x)^2 complex: Pc(x)=abs(sin(Pi*x))+abs(sin(Pi*(gamma(x)+1) /x)) The zeros with Re(x) > 1 are exactly the primes. Thanks.