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 ◽

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On the Stark–Shintani units and the ideal class groups in the cyclotomic Zp-extensions of class fields over real quadratic fields

Acta Arithmetica ◽

10.4064/aa102-1-2 ◽

2002 ◽

Vol 102 (1) ◽

pp. 21-26 ◽

Author(s):

Tsuyoshi Itoh

Keyword(s):

Quadratic Fields ◽

Ideal Class ◽

Class Groups ◽

Real Quadratic Fields ◽

Ideal Class Groups ◽

Class Fields ◽

Real Quadratic ◽

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Dihedral Congruence Primes and Class Fields of Real Quadratic Fields

Journal of Number Theory ◽

10.1006/jnth.2001.2753 ◽

2002 ◽

Vol 95 (1) ◽

pp. 14-37 ◽

Author(s):

Alexander F. Brown ◽

Eknath P. Ghate

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Class fields over real quadratic fields in the theory of modular functions

Collected Papers ◽

10.1007/978-1-4612-2076-3_12 ◽

2002 ◽

pp. 436-448

Author(s):

Goro Shimura

Keyword(s):

Quadratic Fields ◽

Modular Functions ◽

Real Quadratic Fields ◽

Class Fields ◽

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Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields

Advances in Mathematics ◽

10.1016/j.aim.2015.07.007 ◽

2015 ◽

Vol 283 ◽

pp. 130-142 ◽

Author(s):

Henri Darmon ◽

Alan Lauder ◽

Victor Rotger

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Generating ray class fields of real quadratic fields via complex equiangular lines

Acta Arithmetica ◽

10.4064/aa180508-21-6 ◽

2020 ◽

Vol 192 (3) ◽

pp. 211-233 ◽

Author(s):

Marcus Appleby ◽

Steven Flammia ◽

Gary McConnell ◽

Jon Yard

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

Ray Class Fields ◽

Equiangular Lines ◽

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On the Stark-Shintani conjecture and cyclotomic ${\bf Z}_{p}$-extensions of class fields over real quadratic fields, II

Tohoku Mathematical Journal ◽

10.2748/tmj/1178228809 ◽

1984 ◽

Vol 36 (3) ◽

pp. 439-452 ◽

Author(s):

Jin Nakagawa

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Class fields over real quadratic fields and Hecke operators

Collected Papers ◽

10.1007/978-1-4612-2076-3_15 ◽

2002 ◽

pp. 471-531

Author(s):

Goro Shimura

Keyword(s):

Hecke Operators ◽

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Elliptic Curves and Class Fields of Real Quadratic Fields: Algorithms and Evidence

Experimental Mathematics ◽

10.1080/10586458.2002.10504467 ◽

2002 ◽

Vol 11 (1) ◽

pp. 37-55 ◽

Author(s):

Henri Darmon ◽

Peter Green

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Class Fields Over Real Quadratic Fields and Hecke Operators

Annals of Mathematics ◽

10.2307/1970859 ◽

1972 ◽

Vol 95 (1) ◽

pp. 130 ◽

Author(s):

Goro Shimura

Keyword(s):

Hecke Operators ◽

Quadratic Fields ◽

Real Quadratic Fields ◽

Class Fields ◽

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Class fields over real quadratic fields in the theory of modular functions

Lecture Notes in Mathematics - Several Complex Variables II Maryland 1970 ◽

10.1007/bfb0058770 ◽

1971 ◽

pp. 169-188 ◽

Author(s):

Goro Shimura

Keyword(s):

Quadratic Fields ◽

Modular Functions ◽

Real Quadratic Fields ◽

Class Fields ◽

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