Genus-Type-Theory

Published 11 Sep 2025 in math.NT | (2509.09548v1)

Abstract: We introduce the existence of a Genus-Type Theory that generalizes classical genus theory by linking fractional ideals of number fields to structures built from their Galois groups and associated Diophantine equations, as formally stated in Theorem 30 and Remark 7.

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John Basias

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