Number Theory proof involving the sum of Legendre symbols
48482
Legendre symbol: Showing that $\sum_{m=0}^{p-1} \left(\frac{am+b}{p}\right)=0$
66568
Number Theory : Show that $\sum_{i=0}^\infty$ $ [\frac{n}{2^i}+\frac{1}{2}]$ $=$ $2n$
146867
Combinatorial Proof Of A Number Theory Theorem--Confusion
17690
Ways to prove Euler's formula for $\zeta(2n)$
46410
sum of the product of consecutive legendre symbols is -1
54286
Let $p$ a prime number, then prove that : $\sum \limits_{k=0}^{p} \binom {p}{k} \binom{p+k}{k} \equiv 2^p +1 \pmod{p^2}$
18158
Inductive Proof for Vandermonde's Identity?
127291
Show that $\left( \frac{q}{p} \right) \equiv q^{(p-1) / 2} \mod p$, where $\left( \frac{q}{p} \right)$ is the Legendre Symbol
14197
show that $\sum_{i=0}^l \dfrac{{l\choose i}}{{n\choose k + i}} = \dfrac{n+1}{(n-l+1) {n-l\choose k}}$
97694
Simple Divisor Summation Inequality (with Moebius function)
110441
Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
146333
Gaussian proof for the sum of squares?
158508
Combinatorial Proof for Binomial Identity: $\sum_{k = 0}^n \binom{k}{p} = \binom{n+1}{p+1}$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
71394
Prove the following floor function identity
99037
Prove the sum of all numbers that do not have a multiplicative inverse mod $n$
31184
Sums of powers below a prime