Can every complex number be expressed as a zero of a power series with rational coefficients?
42189
Ring of rational-coefficient power series defining entire functions
93888
What do we lose passing from the reals to the complex numbers?
143880
Radius of Convergence of power series of Complex Analysis
44250
rational number solutions to $\frac{a}{a^2+1} + \frac{b}{b^2+1} = \frac{c}{c^2+1}$ with $abc\ne 0$
132525
Real Numbers Raised to Imaginary Powers?
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
79425
Prove the direct product of nonzero complex numbers under multiplication.
103328
Rational Roots of Riemann's $\zeta$ Function
67891
Why are there no discrete zero sets of a polynomial in two complex variables?
51047
Analytic continuation of a power series 2
110869
Find the coefficient of $z$ in the Laurent series expansion of $\frac{e^z}{z-1}$ in ${|z| > 1}$
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$
139307
Closed form expression for infinite series
74596
Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
21769
Motivation for complex numbers
22153
Power Series of a Holomorphic Function determined by its Real Part and $f(0)$?
140968
Proof for Property of Complex Numbers