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
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.