- #1

"pi"mp

- 129

- 1

I need to study the function:

[tex] \bigg| \wp(u ; g_{2}, g_{3})- \wp( (u+2 \omega_{1}); g_{2}, g_{3}) \bigg| [/tex]

where [itex] u [/itex] is the real part of the argument and I'm using the convention where [itex] \omega_{1} [/itex] is actually half of the overall period on the torus.

Specifically, I'd like asymptotics for both small [itex] \omega_{1} [/itex] and large [itex] \omega_{1} [/itex]. I haven't been able to find anything too helpful in the form of addition formulas or anything.

Has anyone seen anything potentially helpful in any of the literature?

Thanks in advance!