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arXiv · 2611.02495

On the Hasse-Sugawara problem and its application to Hilbert's twelfth problem

Ho Yun Jung·Ja Kyung Koo·Dong Hwa Shin
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Abstract

We give an analytic proof of the Hasse-Sugawara problem by treating the seven remaining families of moduli. We also construct an explicit integer translate of a Weber value whose relative norms generate every intermediate field, and express these generators using extended form class groups.

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Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin. 2026-11-02. On the Hasse-Sugawara problem and its application to Hilbert's twelfth problem. https://arxiv.org/abs/2611.02495

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