A Note on the Class-Numbers of Algebraic Number Fields

American Journal of Mathematics ◽

10.2307/2372483 ◽

1956 ◽

Vol 78 (1) ◽

pp. 51 ◽

Author(s):

N. C. Ankeny ◽

R. Brauer ◽

S. Chowla

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields

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A Lower Bound for the Class Numbers of Abelian Algebraic Number Fields with Odd Degree

Proceedings of the American Mathematical Society ◽

10.2307/2161119 ◽

1995 ◽

Vol 123 (5) ◽

pp. 1347

Author(s):

Le Maohua

Keyword(s):

Lower Bound ◽

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

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The Hasse norm principle modulo m of finite Galois extensions of algebraic number fields and a generalization of a theorem of Fröhlich on the e-divisibility of the class numbers of e-abelian fields

Japanese journal of mathematics ◽

10.4099/math1924.20.231 ◽

1994 ◽

Vol 20 (2) ◽

pp. 231-268

Author(s):

Teruo TAKEUCHI

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Galois Extensions ◽

Abelian Fields ◽

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On class numbers of quadratic extensions of algebraic number fields

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.62.33 ◽

1986 ◽

Vol 62 (1) ◽

pp. 33-36 ◽

Author(s):

Richard A. Mollin

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Quadratic Extensions

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Class numbers of binary quadratic lattices over algebraic number fields

Acta Arithmetica ◽

10.4064/aa-39-3-269-279 ◽

1981 ◽

Vol 39 (3) ◽

pp. 269-279 ◽

Author(s):

O. Körner

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Quadratic Lattices

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A note on class numbers of algebraic number fields

Kenkichi Iwasawa Collected Papers ◽

10.1007/978-4-431-67947-9_32 ◽

2001 ◽

pp. 372-373

Author(s):

Ichiro Satake ◽

Genjiro Fujisaki ◽

Kazuya Kato ◽

Masato Kurihara ◽

Shoichi Nakajima

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields

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On a conjecture about class numbers of totally positive quadratic forms in totally real algebraic number fields

Journal of Number Theory ◽

10.1016/0022-314x(79)90038-6 ◽

1979 ◽

Vol 11 (2) ◽

pp. 188-196 ◽

Author(s):

Horst Pfeuffer

Keyword(s):

Algebraic Number ◽

Quadratic Forms ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Totally Positive ◽

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Class numbers of binary quadratic forms over algebraic number fields.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1979.307-308.353 ◽

1979 ◽

Vol 1979 (307-308) ◽

pp. 353-364 ◽

Keyword(s):

Algebraic Number ◽

Quadratic Forms ◽

Number Fields ◽

Class Numbers ◽

Binary Quadratic Forms ◽

Algebraic Number Fields

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On the Class Numbers of Algebraic Number Fields

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2416-3 ◽

2015 ◽

Vol 207 (6) ◽

pp. 934-939

Author(s):

O. M. Fomenko

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields

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A lower bound for the class numbers of abelian algebraic number fields with odd degree

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1995-1249886-x ◽

1995 ◽

Vol 123 (5) ◽

pp. 1347-1347

Author(s):

Mao Hua Le

Keyword(s):

Lower Bound ◽

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

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Class numbers of algebraic number fields of Eisenstein type

Journal of Number Theory ◽

10.1016/0022-314x(70)90043-0 ◽

1970 ◽

Vol 2 (4) ◽

pp. 404-413 ◽

Author(s):

Makoto Ishida

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields

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