Indivisibility of the class number of a real abelian field of prime conductor

Author:

Fujima Shoichi1,Ichimura Humio1

Affiliation:

1. Ibaraki University

Publisher

Department of Mathematics, Faculty of Science

Subject

General Medicine

Reference22 articles.

1. [1] R. P. Brent, An improved Monte-Carlo factorization algorithm, BIT 20 (1980), no. 2, 176-184. 10.1007/BF01933190

2. [2] J. Brillhart, D. H. Lehmer, J. L. Selfridge, B. Tuckerman and S. S. Wagstaff, Jr., Factorizations of bn ± 1. b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers, (2nd ed.), Contemp. Math., vol. 22, Amer. Math. Soc., Providence, RI, 1988. 10.1090/conm/022

3. [3] D. Davis, Computing the number of totally positive circular units which are squares, J. Number Theory, 10 (1978), no. 1, 1-9. 10.1016/0022-314X(78)90002-1

4. [4] S. S. Eddin, An explicit bound for |L(1)| when χ(2) = 1 and χ is even, Int. J. Number Theory, 12 (2016), no. 8, 2299-2315. 10.1142/S1793042116501372

5. [5] A. Fröhlich and M. J. Taylor, Algebraic Number Theory, Cambridge Univ. Press, Cambridge, 1993. 10.1017/CBO9781139172165

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On class numbers inside the real $p$th cyclotomic field;Kodai Mathematical Journal;2024-03-18

2. Biographical Sketch of Professor Humio Ichimura;Mathematical Journal of Ibaraki University;2022

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