### Abstract

T. Ono raised some problems on relations between Ono's numbers p_{D} and the class numbers h_{D} of imaginary quadratic fields. In this paper we give an upper bound for p_{D}. The upper bound contributes to one of the problems.

Original language | English |
---|---|

Pages (from-to) | 29-31 |

Number of pages | 3 |

Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |

Volume | 77 |

Issue number | 2 |

Publication status | Published - 2001 |

Externally published | Yes |

### Keywords

- Class number
- Ono's number

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Japan Academy Series A: Mathematical Sciences*,

*77*(2), 29-31.

**A note on onos numbers associated to imaginary quadratic fields.** / Sairaiji, Fumio; Shimizu, Kenichi.

Research output: Contribution to journal › Article

*Proceedings of the Japan Academy Series A: Mathematical Sciences*, vol. 77, no. 2, pp. 29-31.

}

TY - JOUR

T1 - A note on onos numbers associated to imaginary quadratic fields

AU - Sairaiji, Fumio

AU - Shimizu, Kenichi

PY - 2001

Y1 - 2001

N2 - T. Ono raised some problems on relations between Ono's numbers pD and the class numbers hD of imaginary quadratic fields. In this paper we give an upper bound for pD. The upper bound contributes to one of the problems.

AB - T. Ono raised some problems on relations between Ono's numbers pD and the class numbers hD of imaginary quadratic fields. In this paper we give an upper bound for pD. The upper bound contributes to one of the problems.

KW - Class number

KW - Ono's number

UR - http://www.scopus.com/inward/record.url?scp=23044525888&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044525888&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044525888

VL - 77

SP - 29

EP - 31

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

IS - 2

ER -