2 problems

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Fueter–Pólya conjecture on polynomial bijections of the integer lattice
Let $P(x,y)$ be a polynomial that bijectively maps the non-negative integer lattice $\mathbb{N}_0\times\mathbb{N}_0$ onto the non-negative integers $\mathbb{N}_0$ . Fueter–Pólya con…
Conjectureopeninteger-lattice packing-polynomials polynomial-bijectionsarXiv posted 2 days ago
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The conjecture that Cantor polynomials are the only packing polynomials
Cantor polynomial uniqueness conjecture. The Cantor polynomials are the only packing polynomials on $\mathbf{N}_0^2$ .
Conjectureopennumber-theory packing-polynomialsarXiv posted 2 days ago

Fueter–Pólya conjecture on polynomial bijections of the integer lattice