波兰科学研究院数学研究所
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作者:Eleni Agathocleous
来源:[J].Acta Arithmetica(IF 0.472), 2019, Vol.190, pp.305-315IMPAS
摘要:We study the structure of the $3$-part of the ideal class group of a certain family of real cyclotomic fields with $3$-class number exactly $9$ and conductor equal to the product of two distinct odd primes. We employ known results from class field theory as well as theoretical an...
作者:Eleni Agathocleous
来源:[J].Acta Arithmetica(IF 0.472), 2014, Vol.165, pp.257-277IMPAS
摘要:The class numbers $h^{+}$ of the real cyclotomic fields are very hard to compute. Methods based on discriminant bounds become useless as the conductor of the field grows, and methods employing Leopoldt's decomposition of the class number become hard to use when the field extensio...

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