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

Kenichi Shimizu

doi:10.3792/pjaa.85.46

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

研究成果: Article › 査読

抄録

We denote by h_D 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 h_D > c^pD holds for any real number. On the other hand we have the possibility that h_D 5 c^pD holds for infinitely many imaginary quadratic fields for the same real number c. In this paper, given a real number c, we consider whether h_D 5 c^pD 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
巻	85
号	4
DOI	https://doi.org/10.3792/pjaa.85.46
出版ステータス	Published - 2009 4月
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.3792/pjaa.85.46

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

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