Suppose that a 1 ,…,a r and b 1 ,…,b r are the zeros and poles, respectively, in the…

Suppose that a1,…,ar and b1,…,br are the zeros and poles, respectively, in the fundamental parallelogram of an elliptic function f. Show that

for some integers n and m.

[Hint: If the boundary of the parallelogram contains no zeros or poles, simply integrate zf’ (z)/f(z) over that boundary, and observe that the integral of f’ (z)/f(z) over a side is an integer multiple of 2πi. If there are zeros or poles on the side of the parallelogram, translate it by a small amount to reduce the problem to the first case.]


Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Order Over WhatsApp Place an Order Online

Do you have an upcoming essay or assignment due?

All of our assignments are originally produced, unique, and free of plagiarism.

If yes Order Similar Paper