Inequalities of Ono numbers and class numbers associated to imaginary quadratic fields

研究成果: Article査読

抄録

We denote by hD the class number and by pD the Ono number of the imaginary quadratic fields Q(√-D). Sairaiji-Shimizu [2] showed that there are infinitely many imaginary quadratic fields such that the inequality hD > cpD holds for any real number. On the other hand we have the possibility that hD 5 cpD holds for infinitely many imaginary quadratic fields for the same real number c. In this paper, given a real number c, we consider whether hD 5 cpD holds for infinitely many imaginary quadratic fields or not.

本文言語English
ページ(範囲)46-48
ページ数3
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
85
4
DOI
出版ステータスPublished - 2009 4
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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