Higher Class Numbers in Extensions of Number Fields

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-014-0064-2 ◽

2014 ◽

Vol 38 (3) ◽

pp. 897-907 ◽

Author(s):

Haiyan Zhou

Keyword(s):

Number Fields ◽

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Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields

Comptes Rendus Mathematique ◽

10.1016/j.crma.2016.12.008 ◽

2017 ◽

Vol 355 (2) ◽

pp. 119-122

Author(s):

Byeong Moon Kim ◽

Poo-Sung Park

Keyword(s):

Number Fields ◽

Positive Definite ◽

Class Numbers ◽

Imaginary Number

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Asymptotic behavior of number fields with prescribed ℓ-class numbers

Journal of Number Theory ◽

10.1016/0022-314x(83)90020-3 ◽

1983 ◽

Vol 17 (2) ◽

pp. 191-203 ◽

Author(s):

Frank Gerth

Keyword(s):

Asymptotic Behavior ◽

Number Fields ◽

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Pure quartic number fields whose class numbers are even.

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

10.1515/crll.1975.272.102 ◽

1975 ◽

Vol 1975 (272) ◽

pp. 102-112

Keyword(s):

Number Fields ◽

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Class Numbers and Iwasawa Invariants of Certain Totally Real Number Fields

Journal of Number Theory ◽

10.1006/jnth.1999.2433 ◽

1999 ◽

Vol 79 (2) ◽

pp. 249-257

Author(s):

Dongho Byeon

Keyword(s):

Real Number ◽

Number Fields ◽

Class Numbers ◽

Iwasawa Invariants ◽

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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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Class numbers of maximal binary quadratic lattices over totally real number fields

Archiv der Mathematik ◽

10.1007/bf01226073 ◽

1978 ◽

Vol 30 (1) ◽

pp. 398-399 ◽

Author(s):

Meinhard Peters

Keyword(s):

Real Number ◽

Number Fields ◽

Class Numbers ◽

Quadratic Lattices ◽

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BIBLIOGRAPHY ON DETERMINANTAL EXPRESSIONS OF RELATIVE CLASS NUMBERS OF IMAGINARY ABELIAN NUMBER FIELDS

Number Theory ◽

10.1142/9789814289924_0012 ◽

2009 ◽

Author(s):

KEN YAMAMURA

Keyword(s):

Number Fields ◽

Class Numbers ◽

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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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The Brauer–Kuroda formula for higher S-class numbers in dihedral extensions of number fields

Acta Arithmetica ◽

10.4064/aa151-3-1 ◽

2012 ◽

Vol 151 (3) ◽

pp. 217-239 ◽

Author(s):

Luca Caputo

Keyword(s):

Number Fields ◽

Class Numbers ◽

Dihedral Extensions

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