메뉴 건너뛰기
Journal of Number Theory
Volumn 67, Issue 1, 1997, Pages 1-10
CM-Fields with Cyclic Ideal Class Groups of 2-Power Orders
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0007125731     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2179     Document Type: Article
Times cited : (18)
References (15)
  • 3
    • 84931111531 scopus 로고
    • Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkorpern
    • Hasse H. Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkorpern. Abh. Deutsch. Akad. Wiss. Berlin, Math. 2:1948;1-95.
    • (1948) Abh. Deutsch. Akad. Wiss. Berlin, Math. , vol.2 , pp. 1-95
    • Hasse, H.1
  • 4
    • 0002865488 scopus 로고
    • Some analytic bounds for zeta functions and class numbers
    • Hoffstein J. Some analytic bounds for zeta functions and class numbers. Invent. Math. 55:1979;37-47.
    • (1979) Invent. Math. , vol.55 , pp. 37-47
    • Hoffstein, J.1
  • 5
    • 84966254905 scopus 로고
    • Determination of all imaginary cyclic quartic fields with class number 2
    • Hardy K., Hudson R. H., Richman D., Williams K. S. Determination of all imaginary cyclic quartic fields with class number 2. Trans. Amer. Math. Soc. 311:1989;1-55.
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 1-55
    • Hardy, K.1    Hudson, R.H.2    Richman, D.3    Williams, K.S.4
  • 7
    • 0002838623 scopus 로고
    • Majorations explicites de Lχ
    • Louboutin S. Majorations explicites de Lχ C. R. Acad. Sci. Paris. 316:1993;11-14.
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 11-14
    • Louboutin, S.1
  • 8
    • 84966247818 scopus 로고
    • Lower bounds for relative class numbers of CM-fields
    • Louboutin S. Lower bounds for relative class numbers of CM-fields. Proc. Amer. Math. Soc. 120:1994;425-434.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 425-434
    • Louboutin, S.1
  • 9
    • 84968495007 scopus 로고
    • Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents ≥2
    • Louboutin S. Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents ≥2. Math. Comp. 64:1995;323-340.
    • (1995) Math. Comp. , vol.64 , pp. 323-340
    • Louboutin, S.1
  • 10
    • 0002734511 scopus 로고    scopus 로고
    • Majorations explicites du résidu au point 1 des fonctions zêta des corps de nombres
    • S. Louboutin, Majorations explicites du résidu au point 1 des fonctions zêta des corps de nombres, J. Math. Soc. Japan.
    • J. Math. Soc. Japan
    • Louboutin, S.1
  • 11
    • 84966218136 scopus 로고
    • The determination of all imaginary, quartic number fields with class number 1
    • Setzer B. The determination of all imaginary, quartic number fields with class number 1. Math. Comp. 35:1980;1383-1386.
    • (1980) Math. Comp. , vol.35 , pp. 1383-1386
    • Setzer, B.1
  • 12
    • 0001468947 scopus 로고
    • Some effective cases of the Brauer-Siegel theorem
    • Stark H. Some effective cases of the Brauer-Siegel theorem. Invent. Math. 23:1974;135-152.
    • (1974) Invent. Math. , vol.23 , pp. 135-152
    • Stark, H.1
  • 13
    • 84972584566 scopus 로고
    • Imaginary abelian number fields with class number one
    • Uchida K. Imaginary abelian number fields with class number one. Tôhoku Math. J. 24:1972;487-499.
    • (1972) Tôhoku Math. J. , vol.24 , pp. 487-499
    • Uchida, K.1
  • 14
    • 0003354025 scopus 로고
    • Introduction to Cyclotomic Fields
    • Berlin/New York: Springer-Verlag
    • Washington L. C. Introduction to Cyclotomic Fields. Graduate Texts in Math. 83:1982;Springer-Verlag, Berlin/New York.
    • (1982) Graduate Texts in Math. , vol.83
    • Washington, L.C.1
  • 15
    • 84968482167 scopus 로고
    • The determination of the imaginary abelian number fields with class number one
    • Yamamura K. The determination of the imaginary abelian number fields with class number one. Math. Comp. 62:1994;899-921.
    • (1994) Math. Comp. , vol.62 , pp. 899-921
    • Yamamura, K.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.