On the class numbers ofreal cyclotomic fields of conductor $pq$
作者: Eleni Agathocleous
作者单位: 1Ministry of Education Nicosia, Cyprus
刊名: Acta Arithmetica, 2014, Vol.165 , pp.257-277
来源数据库: Institute of Mathematics Polish Academy of Sciences
DOI: 10.4064/aa165-3-5
原始语种摘要: 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 extension is not cyclic of prime power. This is why other methods have been developed, which approach the problem from different angles. In this paper we extend one of these methods that was designed for real cyclotomic fields of prime conductor, and we make it applicable to real cyclotomic fields of conductor equal to the product of two distinct odd primes. The main advantage of this method is that it does not exclude the primes dividing the order of the Galois group, in contrast to other methods. We applied our...
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  • 相异的 成为
  • cyclotomic 割圆的
  • pq 渗透系数
  • conductor 导线
  • class 
  • numbers 数目
  • discriminant 判别式
  • group 
  • decomposition 分解
  • become 成为
  • distinct 成为