5 problems

Let $E$) be a moiety of a bounded primitive Eisenstein circle packing. Let $N$ be a positive real number, and let $c_E$ denote a constant depending on $E$. Let…

Parker, Rushall and Hunt's conjecture. Every odd norm-perfect Eisenstein integer has the form

Let $\beta=a+b\alpha$ and $\beta'=a'+b'\alpha$ be primitive Eisenstein integers, and write $\beta\preceq\beta'$ when $b\leq b'$. Let $\beta$ be a Fibonacci Eisenstein integer, let…

Odd-power classification conjecture. There is a quasigroup isomorphism

Odd norm-perfect form conjecture. The integer $\alpha$ must have the form