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arXiv · 2510.00295

Minimal Mahler Measure in Quartic Galois Number Fields

Bishnu Paudel·Kathleen Petersen·Haiyang Wang
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Abstract

We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the field. We obtain density results which are conditional on the ABC conjecture as well as several unconditional results.

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Bishnu Paudel, Kathleen Petersen, Haiyang Wang. 2025-09-30. Minimal Mahler Measure in Quartic Galois Number Fields. https://arxiv.org/abs/2510.00295

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