Alternative proofs for $e^{\pi i}+1=0$.
96328
Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$
29511
How to prove $f(z) = \sum_{n=-\infty}^{\infty}e^{2\pi inz}e^{-\pi n^2}$ has a unique zero inside a unit square in the 1st quadrant.
117680
Prove that $|e^{i\theta_1}-e^{i\theta_2}| \leq |\theta_1 - \theta_2|$
83531
Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
136855
Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID
77349
What is the real part of $ e^{e^{i \theta}} ?$
138054
Proving that $\int_0^1 f(x)e^{nx}\,{\rm d}x = 0$ for all $n\in\mathbb{N}_0$ implies $f(x) = 0$
120906
Is there a proof that $\pi \times e$ is irrational?
10675
Proving that $\frac{1}{2\pi}\int_{0}^{2\pi}|f(re^{it})|^2dt=\sum_{n=0}^{\infty}|a_n|^2r^{2n}$
113986
Fermat's Last Theorem: implications (there is no new proof)
149589
Analogous results to Euler's theorem
15886
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
114411
Simple Proof of the Euler Identity $\exp{i\theta}=\cos{\theta}+i\sin{\theta}$
28148
Are there any simple ways to see that $e^z-z=0$ has infinitely many solutions?
105679
Can $\pi$ or $e$ be a root of a polynomial with algebraic coefficients?
116730
An "elementary" approach to complex exponents?
68421
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.