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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

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Volume 28, Issue 2


Ring class invariants over imaginary quadratic fields

Ick Sun Eum / Ja Kyung Koo / Dong Hwa Shin
  • Department of Mathematics, Hankuk University of Foreign Studies, Yongin-si, Gyeonggi-do 449-791, Republic of Korea
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Published Online: 2014-09-09 | DOI: https://doi.org/10.1515/forum-2014-0007


We give some explicit conditions under which the singular values of Δ-quotients generate ring class fields over imaginary quadratic fields.

Keywords: Class field theory; complex multiplication; elliptic and modular units

MSC: 11G16; 11F03; 11G15; 11R37

About the article

Received: 2014-01-15

Revised: 2014-06-30

Published Online: 2014-09-09

Published in Print: 2016-03-01

Funding Source: NRF of Korea

Award identifier / Grant number: 2014001824

Funding Source: Hankuk University of Foreign Studies

Award identifier / Grant number: Research Fund of 2014

Citation Information: Forum Mathematicum, Volume 28, Issue 2, Pages 201–217, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2014-0007.

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