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--- math185-s23:hw12 [2023/04/21 12:23]
pzhou created
+++ math185-s23:hw12 [2023/04/28 07:46] (current)
pzhou [#3]
@@ Line 6: / Line 6: @@
 Fix any two distinct points  $p_1,p_2$  in the fundamental domain $\{a+bi \mid a, b\in [0,1)\}$.
-  - Can you write a series expression for a function with poles at  $p_1, p_2$ ?
+  - Can you write a series expression for a function with exactly two (simple) poles at  $p_1, p_2$ ?
+  - Can you use Weierstrass P-function (and its derivative $P'$) to express this function?
-  - Can you use Weierstrass P-function to express this function?
+  - Is such a function unique?
-  - Is this function unique?

Lecture Notes