A note on class number 1 criteria for totally real algebraic number fields

Dongho Byeon

doi:10.4064/aa100-3-4

A note on class number 1 criteria for totally real algebraic number fields

Acta Arithmetica ◽

10.4064/aa100-3-4 ◽

2001 ◽

Vol 100 (3) ◽

pp. 291-295 ◽

Cited By ~ 1

Author(s):

Dongho Byeon

Keyword(s):

Algebraic Number ◽

Class Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Totally Real

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A Characterization of Algebraic Number Fields with Class Number Two

Proceedings of the American Mathematical Society ◽

10.2307/2034782 ◽

1960 ◽

Vol 11 (3) ◽

pp. 391 ◽

Cited By ~ 1

Author(s):

L. Carlitz

Keyword(s):

Algebraic Number ◽

Class Number ◽

Number Fields ◽

Algebraic Number Fields

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Evaluation of 𝜁_{𝐾}(2) for some totally real algebraic number fields 𝐾 of degree 9

Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/048/1314896 ◽

1994 ◽

pp. 589-593

Author(s):

Kisao Takeuchi

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Totally Real

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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 ◽

Cited By ~ 7

Author(s):

Horst Pfeuffer

Keyword(s):

Algebraic Number ◽

Quadratic Forms ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Totally Positive ◽

Totally Real

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A characterization of algebraic number fields with class number two.

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1960-0111741-2 ◽

1960 ◽

Vol 11 (3) ◽

pp. 391-391 ◽

Cited By ~ 1

Author(s):

L. Carlitz

Keyword(s):

Algebraic Number ◽

Class Number ◽

Number Fields ◽

Algebraic Number Fields

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The Minimum Discriminant of Totally Real Algebraic Number Fields of Degree 9 with Cubic Subfields

Mathematics of Computation ◽

10.2307/2153119 ◽

1993 ◽

Vol 60 (202) ◽

pp. 801

Author(s):

Hiroyuki Fujita

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Totally Real

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On the relative class number of finite algebraic number fields

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/01920179 ◽

1967 ◽

Vol 19 (2) ◽

pp. 179-184 ◽

Cited By ~ 2

Author(s):

Akio YOKOYAMA

Keyword(s):

Algebraic Number ◽

Class Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Relative Class ◽

Relative Class Number

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On the expression of a number as the sum of two squares in totally real algebraic number fields

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1965-0179154-x ◽

1965 ◽

Vol 16 (3) ◽

pp. 529-529 ◽

Cited By ~ 2

Author(s):

Werner Schaal

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Totally Real

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Representation of integers by positive-definite quadratic forms in totally real algebraic number fields

Journal of Soviet Mathematics ◽

10.1007/bf02108237 ◽

1985 ◽

Vol 29 (3) ◽

pp. 1253-1264

Author(s):

V. V. Golovizin

Keyword(s):

Algebraic Number ◽

Quadratic Forms ◽

Number Fields ◽

Positive Definite ◽

Algebraic Number Fields ◽

Representation Of Integers ◽

Totally Real

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The Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function

Acta Arithmetica ◽

10.4064/aa-30-2-187-197 ◽

1976 ◽

Vol 30 (2) ◽

pp. 187-197 ◽

Cited By ~ 3

Author(s):

A. Terras

Keyword(s):

Zeta Function ◽

Algebraic Number ◽

Fourier Expansion ◽

Number Fields ◽

Algebraic Number Fields ◽

Totally Real

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Chen's theorem in totally real algebraic number fields

Acta Arithmetica ◽

10.4064/aa-58-4-335-361 ◽

1991 ◽

Vol 58 (4) ◽

pp. 335-361 ◽

Cited By ~ 1

Author(s):

Jürgen Hinz

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Chen’S Theorem ◽

Totally Real

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