On finiteness of the numbers of Euclidean fields in some classes of number fields

DOI10.3836/TJM/1270153001zbMath0548.12004OpenAlexW2019365412MaRDI QIDQ799729

Shigeki Egami

Publication date: 1984

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270153001

zbMATH Keywords

Generalized Riemann Hypothesisdiscriminantestimates of character sumsnon-Galois cubic fieldscyclic fieldsfinitely many Euclidean fieldsnorm-Euclidean ideal class

Mathematics Subject Classification ID

Other number fields (11R21) Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Estimates on character sums (11L40) Cyclotomic extensions (11R18)

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EXAMPLES OF NORM-EUCLIDEAN IDEAL CLASSES ⋮ Statistics of genus numbers of cubic fields

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