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Prove that the augmentation ideal in the group ring $\mathbb{Z}/p\mathbb{Z}G$ is a nilpotent ideal ($p$ is a prime, $G$ is a $p$-group)
Non-zero prime ideals in the ring of all algebraic integers
Lower bound on smallest eigenvalue of (symmetric positive-definite) matrix
proof of $1^4+2^4+…+n^4=\frac{n(n+1)(2n+1)(3n^2+3n-1)}{30}$
An identity involving the Pochhammer symbol
Darboux Theorem
Non-standard models for Peano Axioms
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