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20
Math Prize 2014 Problem 20
Math Prize 2014 Problem 20
Source:
September 29, 2014
trigonometry
ceiling function
absolute value
Problem Statement
How many complex numbers
z
z
z
such that
∣
z
∣
<
30
\left| z \right| < 30
∣
z
∣
<
30
satisfy the equation
e
z
=
z
−
1
z
+
1
?
e^z = \frac{z - 1}{z + 1} \, ?
e
z
=
z
+
1
z
−
1
?
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