3 problems

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Shapiro's non-restriction conjecture for $[10,10,16]_\mathbb{Z}$ formulas
An $[r,s,n]_\mathbb{Z}$ formula is a normed bilinear map with integer coefficients, and a Hurwitz–Radon formula is a $[\rho(n),n,n]_\mathbb{R}$ formula, where $\rho(n)$ is the Hurw…
Conjectureopenbilinear-maps composition-formulas hurwitz-radon-theoryarXiv posted 2 days ago
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The lower-bound conjecture for bilinear-map growth
Lower-bound conjecture. There is a positive constant independent of $n$ such that
Conjectureopenasymptotic-growth bilinear-maps combinatoricsarXiv posted 2 days ago
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The partial-order growth conjecture for bilinear maps
Partial-order growth conjecture. There is a constant independent of $n$ such that
Conjectureopenasymptotic-growth bilinear-maps combinatoricsarXiv posted 2 days ago

Shapiro's non-restriction conjecture for [10,10,16]Z[10,10,16]_\mathbb{Z}[10,10,16]Z​ formulas