2 problems

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Necessary and sufficient global optimality for bivariate quartic regularization
Let $n=2$ and let $T$ be any tensor defining the quartic-regularized model $m_3$ . A necessary and sufficient global optimality condition with no relaxation gap should hold for ever…
Conjectureopenpolynomial-optimization quartic-polynomials sum-of-squaresarXiv posted 2 days ago
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The quartic-prime conjecture for $n^4+1$
Quartic-prime conjecture. The weighted counting function satisfies
Conjectureopenprime-values quartic-polynomialsarXiv posted 2 days ago

Necessary and sufficient global optimality for bivariate quartic regularization