Klein Units in Arbitrary Class Fields

Grundlehren der mathematischen Wissenschaften - Modular Units ◽

10.1007/978-1-4757-1741-9_12 ◽

1981 ◽

pp. 269-310

Author(s):

Daniel S. Kubert ◽

Serge Lang

Keyword(s):

Download Full-text

On Quadratic Subextensions of Ray Class Fields of Quadratic Fields modp

Journal of Number Theory ◽

10.1006/jnth.2000.2553 ◽

2001 ◽

Vol 86 (1) ◽

pp. 1-38 ◽

Author(s):

Fuminori Kawamoto

Keyword(s):

Quadratic Fields ◽

Class Fields ◽

Ray Class Fields

Download Full-text

Kolyvagin’s method for Chow groups of Kuga–Sato varieties over ring class fields

Annales mathématiques du Québec ◽

10.1007/s40316-015-0032-8 ◽

2015 ◽

Vol 39 (2) ◽

pp. 147-167 ◽

Author(s):

Yara Elias

Keyword(s):

Chow Groups ◽

Download Full-text

Existence of Generalized Local Class Fields

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.39.10.1100 ◽

1953 ◽

Vol 39 (10) ◽

pp. 1100-1103 ◽

Author(s):

G. Whaples

Keyword(s):

Download Full-text

On the Computation of Hilbert Class Fields

Journal of Number Theory ◽

10.1006/jnth.1997.2208 ◽

1998 ◽

Vol 69 (2) ◽

pp. 213-230 ◽

Author(s):

M. Daberkow ◽

M. Pohst

Keyword(s):

Download Full-text

Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields by Integer Lattice Reduction

Number Theory ◽

10.1007/978-1-4757-4158-2_8 ◽

1991 ◽

pp. 149-202 ◽

Author(s):

Erich Kaltofen ◽

Noriko Yui

Keyword(s):

Explicit Construction ◽

Integer Lattice ◽

Lattice Reduction ◽

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Download Full-text

Construction of class fields and zeta functions of algebraic curves

Collected Papers ◽

10.1007/978-1-4612-2076-3_2 ◽

2002 ◽

pp. 30-131

Author(s):

Goro Shimura

Keyword(s):

Algebraic Curves ◽

Zeta Functions ◽

Download Full-text

On the Stark-Shintani conjecture and cyclotomic $Z_{p}$ -extensions of class fields over real quadratic fields

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03640577 ◽

1984 ◽

Vol 36 (4) ◽

pp. 577-588 ◽

Author(s):

Jin NAKAGAWA

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

Download Full-text

On the class-fields obtained by complex multiplication of abelian varieties

Collected Papers ◽

10.1007/978-1-4612-2074-9_14 ◽

2002 ◽

pp. 342-353

Author(s):

Goro Shimura

Keyword(s):

Abelian Varieties ◽

Complex Multiplication ◽

Download Full-text

CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS USING y-COORDINATES OF ELLIPTIC CURVES

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2013.50.4.847 ◽

2013 ◽

Vol 50 (4) ◽

pp. 847-864

Author(s):

Ja Kyung Koo ◽

Dong Hwa Shin

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Download Full-text

2-CLASS FIELDS TOWERS OF SOME IMAGINARY BIQUADRATIC NUMBER FIELDS

International Electronic Journal of Pure and Applied Mathematics ◽

10.12732/iejpam.v6i3.3 ◽

2013 ◽

Vol 6 (3) ◽

Author(s):

M. Rezzougui ◽

A. Azizi

Keyword(s):

Number Fields ◽

Download Full-text