A class number problem for imaginary cyclic number fields of 2-power degrees
Number Theory
2025-08-15 v1
Abstract
In 2024, M. K. Ram proved that the class number of an imaginary cyclic quartic number field is never equal to a prime . Here we greatly generalize this result to the case of the non-quadratic imaginary cyclic number fields of -power degrees and not necessarily prime class numbers.
Keywords
Cite
@article{arxiv.2508.10563,
title = {A class number problem for imaginary cyclic number fields of 2-power degrees},
author = {Stéphane R. Louboutin},
journal= {arXiv preprint arXiv:2508.10563},
year = {2025}
}