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Unbounded maximal elements in the Frobenius problem over real number fields
Unboundedness conjecture. For every positive integer $m\geqslant 1$ , there exists some $\alpha\in\mathfrak{O}_K^+$ such that
Conjectureopenfrobenius-problem number-theory real-number-fieldsarXiv posted 2 days ago

Unbounded maximal elements in the Frobenius problem over real number fields