Rational Function Residue Formula Proof
52217
Residue of two functions
53191
Showing a meromorphic function is rational
68275
Primitive Root Theorem Proof
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
116778
Calculation of an integral via residue.
147886
Proof of the angle sum identity for $\sin$
68635
When is $2$ a quadratic residue mod $p$?
84746
elementary proof that infinite primes quadratic residue modulo $p$
141273
When is $\sin(x)$ rational?
96894
Prove $f_{n+1}^2+f_n^2=f_{2n+1}$
58633
Proof of the formula $1+x+x^2+x^3+ \cdots +x^n =\frac{x^{n+1}-1}{x-1}$
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
129821
Prove that the Gaussian rationals is the field of fractions of the Gaussian integers
156597
Proving a reduction formula for the antiderivative of $\cos^n(x)$
96326
Number of $q$-th residues modulo $n$
140249
Euler Product formula for Riemann zeta function proof