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

2025/08/14 by Louboutin, Stéphane R.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.10563

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≡ 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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