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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,149 - 1,161 (13page)
- DOI
- 10.4134/BKMS.b200744
이용수
초록· 키워드
오류제보하기
In this paper, we present new bounds on the fundamental units of real quadratic fields $\mathbb{Q}(\sqrt{d})$ using the continued fraction expansion of the integral basis element of the field. Furthermore, we apply these bounds to Dirichlet's class number formula. Consequently, we provide computational advantages to estimate the class numbers of such fields. We also give some numerical examples.
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참고문헌 (17)
참고문헌 신청
Takashi Azuhata / 1984 / On the fundamental units and the class numbers of real quadratic fields / Nagoya Mathematical Journal 95:125~135
S. I¸sıkay / 2018 / Some criteria on invariant values / Maejo Int. J. Sci. Technol 12:101~111
H. K. Kim / 1988 / A conjecture of S. Chowla and related topics in analytic number theory
Maohua Le / 1994 / Upper bounds for class numbers of real quadratic fields / Acta Arithmetica 68(2):141~144
Stéphane Louboutin / 2002 / Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters / Acta Arithmetica 101(1):1~18
S. I¸sıkay / 2018 / Some criteria on invariant values / Maejo Int. J. Sci. Technol 12:101~111
H. K. Kim / 1988 / A conjecture of S. Chowla and related topics in analytic number theory
Maohua Le / 1994 / Upper bounds for class numbers of real quadratic fields / Acta Arithmetica 68(2):141~144
Stéphane Louboutin / 2002 / Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters / Acta Arithmetica 101(1):1~18
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