Peter Simon

Results 47 comments of Peter Simon

Since q = exp(iπτ) = 0.999999685... in this case and the theta functions are only defined for |q| < 1, it isn't surprising that there will be some convergence problems...

Could you provide a link to the Fortran implementation so I could take a look?

I added some comments to the gist.

The final argument is `q` which must be strictly less than 1 in magnitude. Note that in the next release of the package this argument definition has been changed to...

Looking at the log of one of your old successful documentation runs I see this: ![image](https://github.com/stla/EllipticFunctions.jl/assets/4294361/7d190dd4-577f-4bfb-b795-cff663f99def)

Sorry, those files are black magic to me as well. Maybe ask on Discourse.

Here is a checklist we can use to track completion of this issue: - [ ] agm - [ ] am - [ ] CarlsonRC - [ ] CarlsonRD -...

I think this was added when you were reviewing my original PR. See [this](https://github.com/stla/EllipticFunctions.jl/pull/4#issuecomment-1179567092) comment.

Yes, the dilemma is clear. This is what [NIST](https://dlmf.nist.gov/20.1) has to say about it: ![image](https://user-images.githubusercontent.com/4294361/219475810-f400d9bf-0525-4bb5-8aaa-c9b59482e0cd.png) so my preference is to use $z$ and $q$ as inputs, assuming that the desired...

I'm not sure I take your exact meaning, but your comment made me reflect on what the choice of branch means in terms of our computations. Consider the following numerical...