find zeros of the Riemann zeta function

This function finds zeros of the Riemann zeta function on the critical line 0.5 + i*t in an interval von <= t <= bis

Run [Zeros = findZerosRiemannZetaSiegel2(von, bis, steplength) to find zeros of the Riemann zeta function on the critical line 0.5 + i*t in the intervail von <= t <= bis

The function mainly looks for sign changes in the real and imaginary part. The values are calculated using the Riemann-Siegel formula.

There is no gurantee to find all zeros, since some sign changes occur within very short distances and can be skipped. E.g: the real part of the zero for t=122.946829294... is below zero only for a tiny interval of t. So choose steplength sufficiently small!

Example: findZerosRiemannZetaSiegel(120, 130,0.01) will produce:

121.3701 121.3700 121.3800

124.2568 124.2500 124.2600

127.5167 127.5100 127.5200

129.5787 129.5700 129.5800

.... not finding the zero at t=122.946829294....

Try to run: findZerosRiemannZetaSiegel(120, 130,0.002) and the function will find it.