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May 30, 2024Open Access

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A family of cyclic quartic monogenic polynomials

PVPaul VoutierMichelin (United States)

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Resumen

We produce an explicit family of totally real cyclic quartic polynomials that are monogenic in many cases, and conjecturally are monogenic and generating distinct quartic fields infinitely often.

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Paul Voutier (Thu,) studied this question.

synapsesocial.com/papers/68e67cafb6db643587606174 https://doi.org/https://doi.org/10.48550/arxiv.2405.20288

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A family of cyclic quartic monogenic polynomials | Synapse