The sum of odd powered complex numbers equals zero implies they cancel each other in pairs
50133
The sum of odd powered real numbers equals zero implies the numbers are inverses
114254
Zero divisors in $A[x_1,x_2,\dots,x_r]$
18465
Sum and product of two transcendental numbers can't be both algebraic
110416
Sums of roots of unity
55718
Is zero odd or even?
92166
Number of odd binomial coefficients is a power of $2$
143047
find $\sum_{k=0}^{t}(-1)^k\binom{t}{k}^2$ for odd t then for even t
92784
Intuitive (combinatorial) proof of $2^n=\sum_{k=0}^n {n\choose k}$
139740
The infinite product of the sines of all positive integers is zero
114796
Direct proof that the product of odd integers is odd
101169
Prove that $x^2 = - 1$ has no solution in $\mathbb{Z}$
139371
Sums of complex numbers - proof in Rudin's book
151940
Cancellation law for direct sums
133905
Intuitive proof of $\sum_{k=1}^{n} \binom{n}{k} k^{k-1} (n-k)^{n-k} = n^n$
18461
Sum of odd Fibonacci Numbers
129574
Sum over all residues is zero
45037
Show $(2^m-1,2^n+1)=1$ if $m$ is odd