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- (*start xi function*)cons = 10;
- ww = 400;
- div = 10;
- real = 1/2;
- Monitor[TableForm[zz = Table[Clear[t, b, n, k, nn, x];
- z = N[cons + w/div, 20];
- polynomial =
- Normal[Series[
- 1/2 (real + x + z*N[I, 20])*((real + x + z*N[I, 20]) - 1)*
- Pi^(-(real + x + z*N[I, 20])/
- 2) Gamma[(real + x + z*N[I, 20])/2]*
- Zeta[(real + x + z*N[I, 20])], {x, 0, 10}]];
- digits = 20;
- b = With[{nn = 20},
- CoefficientList[Series[1/polynomial, {x, 0, nn}], x]];
- nn = Length[b] - 1;
- x = z*I + N[b[[nn - 1]]/b[[nn]], digits], {w, 0, ww}]];, w]
- g1 = ListLinePlot[Flatten[Im[zz]], DataRange -> {cons, cons + ww/div}]
- g2 = ListLinePlot[Flatten[Re[zz]], DataRange -> {cons, cons + ww/div},
- PlotRange -> {-2, 2}]
- zz
- (*end*)
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