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Partition regularity in imaginary quadratic rings of integers

math.CO · 2026-03-20 · unverdicted · novelty 7.0

Partition regularity holds for homogeneous quadratic equations with parametrized solutions that factor nicely into linear forms over imaginary quadratic integer rings, via new number-theoretic tools on multiplicative functions.

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  • Partition regularity in imaginary quadratic rings of integers math.CO · 2026-03-20 · unverdicted · none · ref 23

    Partition regularity holds for homogeneous quadratic equations with parametrized solutions that factor nicely into linear forms over imaginary quadratic integer rings, via new number-theoretic tools on multiplicative functions.