'jacobi' package

[stla]

Hello Robin,

I've seen you recently updated 'elliptic'. In case you're interested, I recently developed the 'jacobi' package. It provides more or less the same functions as 'elliptic' but it is faster, because the Jacobi theta functions are implemented in C++. Your package was helpful for the development, thanks.

[RobinHankin]

Hi there! I saw your jacobi package the other day, it looks great, glad the elliptic package was helpful! best wishes Robin ***@***.***>

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On Fri, Jun 24, 2022 at 11:49 AM stla ***@***.***> wrote: Hello Robin, I've seen you recently updated 'elliptic'. In case you're interested, I recently developed the 'jacobi' package <https://github.com/stla/jacobi>. It provides more or less the same functions as 'elliptic' but it is faster, because the Jacobi theta functions are implemented in C++. Your package was helpful for the development, thanks. — Reply to this email directly, view it on GitHub <#5>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/ADFFZUWHL3RH46KGUUKCN53VQTZXHANCNFSM5ZWA2K6Q> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

[stla]

Thanks. I have one question for you. Do you understand the notation $$\wp(z, \tau) \quad \text{or} \quad \zeta(z, \tau),$$ that we can see at numerous places? I don't. I mean: how to get these values with elliptic? We give either $$g_2 \quad \text{and} \quad g_3$$ or $$\omega_1 \quad \text{and} \quad \omega_2.$$ I tried $$\omega_1=1 \quad \text{and} \quad \omega_2=\tau,$$ but it seems this is not correct.

[stla]

I've found!! This is $$\omega_1=1/2 \quad \text{and} \quad \omega_2=\tau/2.$$