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Bulletin of the London Mathematical Society Advance Access originally published online on September 23, 2009
Bulletin of the London Mathematical Society 2009 41(5):935-942; doi:10.1112/blms/bdp070
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© 2009 London Mathematical Society

Generation of ray class fields by elliptic units

Ho Yun Jung

Department of Mathematical Sciences
Kaist
Daejeon 373-1
Korea
dosal@kaist.ac.kr

Ja Kyung Koo

Department of Mathematical Sciences
Kaist
Daejeon 373-1
Korea
jkkoo@math.kaist.ac.kr

Dong Hwa Shin

Department of Mathematical Sciences
Kaist
Daejeon 373-1
Korea

Received 10 June 2008. Revision received 16 March 2009.

We show that a certain special value of a Siegel function generates the ray class field over the Hilbert class field for an imaginary quadratic field, from which we settle the Schertz's conjecture.

2000 Mathematics Subject Classification 11G16, 11F11, 11F20, 11R37.

This work was supported by the SRC Program of KOSEF grant funded by MEST R11-2007-035-01001-0.


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