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arXiv · 2508.10563

A class number problem for imaginary cyclic number fields of 2-power degrees

Stéphane R. Louboutin
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Abstract

In 2024, M. K. Ram proved that the class number of an imaginary cyclic quartic number field is never equal to a prime $p\equiv 3\pmod 4$. Here we greatly generalize this result to the case of the non-quadratic imaginary cyclic number fields of $2$-power degrees and not necessarily prime class numbers.

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Stéphane R. Louboutin. 2025-08-14. A class number problem for imaginary cyclic number fields of 2-power degrees. https://arxiv.org/abs/2508.10563

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