Roots of rational function with complex coefficients

[Adam Majewski]

Hi

Does arb have functions to find zeros of a rational function with complex coefficients ?

TIA

Adam

[Adam Majewski]

Rational function of one complex variable

[Stephen Crowley]

It looks like the feature was intended to be added,but is not there yet, see https://arblib.org/acb_calc.html

You can try adding this yourself, or I will have the feature added soon in arb4j , see

https://github.com/crowlogic/arb4j/blob/master/src/arblib/RealFunction.java for instance where I've implemented the arb_calc_isolate_roots function in Java.

Next I will add support for refinement and perhaps soon after complex numbers. I am not fond of coding in C, but perhaps you are and would like to add these features.

Regards,

Stephen