The Modular Group provides simple proofs of Fermat's representations: X^2+Y^2 for primes congruent to 1 (mod 4) and by X^2+3Y^2 for primes congruent to 1 (mod 3)
Supersingular curves of genus five for primes congruent to three modulo four
Infinitely many primes in each of the residue classes $1$ and $8$ modulo $9$ are sums of two rational cubes
Simple proofs for universal binary Hermitian lattices
![QR code for arXiv:2109.10220 [math.NT]](http://oss.arxitics.com/images/favicon.svg)