Proceedings of the Japan Academy, Series A, Mathematical Sciences

A note on Ono's numbers associated to imaginary quadratic fields

Fumio Sairaiji and Kenichi Shimizu

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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.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 77, Number 2 (2001), 29-31.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148393123

Digital Object Identifier
doi:10.3792/pjaa.77.29

Mathematical Reviews number (MathSciNet)
MR1812043

Zentralblatt MATH identifier
0988.11052

Subjects
Primary: 11R11: Quadratic extensions
Secondary: 11R29: Class numbers, class groups, discriminants

Keywords
Ono's number class number

Citation

Sairaiji, Fumio; Shimizu, Kenichi. A note on Ono's numbers associated to imaginary quadratic fields. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 2, 29--31. doi:10.3792/pjaa.77.29. https://projecteuclid.org/euclid.pja/1148393123


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References

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