Class number calculation using Siegel functions

T. Fukuda; Keiichi Komatsu

doi:10.1112/S146115701400014X

Class number calculation using Siegel functions

T. Fukuda, Keiichi Komatsu

研究成果: Article

抜粋

We propose a fast method of calculating the p-part of the class numbers in certain non-cyclotomic ℤ_p-extensions of an imaginary quadratic field using elliptic units constructed by Siegel functions. We carried out practical calculations for p=3 and determined λ-invariants of such ℤ₃-extensions which were not known in our previous paper.

元の言語	English
ページ（範囲）	295-302
ページ数	8
ジャーナル	LMS Journal of Computation and Mathematics
巻	17
発行部数	SPEC. ISSUE A
DOI	https://doi.org/10.1112/S146115701400014X
出版物ステータス	Published - 2014

フィンガープリント

ASJC Scopus subject areas

Mathematics(all)
Computational Theory and Mathematics

これを引用

Fukuda, T., & Komatsu, K. (2014). Class number calculation using Siegel functions. LMS Journal of Computation and Mathematics, 17(SPEC. ISSUE A), 295-302. https://doi.org/10.1112/S146115701400014X

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文献にアクセス

10.1112/S146115701400014X