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NUMBER  
AUTHOR Kim, Henry H.
TITLE Minimal generators of the ideal class group
ARCHIVE  
FILE  
JOURNAL JOURNAL OF NUMBER THEORY, 2021
ABSTRACT We prove unconditionally that in some family of number fields, except for a density zero set, the ideal class group of K is generated by degree one prime ideals whose norm is O((log d(K))(alpha)) for some alpha > 4, where d(K) is the absolute value of the discriminant of K, where the implied constant depends only on alpha. (C) 2021 Elsevier Inc. All rights reserved.
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