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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

On the problem of the 10th discriminant


Author: I. R. Shafarevich
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 25 (2013), nomer 4.
Journal: St. Petersburg Math. J. 25 (2014), 699-711
MSC (2010): Primary 11R29
Published electronically: June 5, 2014
MathSciNet review: 3184622
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Abstract | References | Similar Articles | Additional Information

Abstract: An elementary proof is given for Heegner's theorem describing imaginary quadratic fields with class number one.


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Additional Information

I. R. Shafarevich
Affiliation: Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkin str., 119991 Moscow, Russia

DOI: http://dx.doi.org/10.1090/S1061-0022-2014-01312-X
PII: S 1061-0022(2014)01312-X
Keywords: Quadratic number fields, class numbers, modular functions
Received by editor(s): December 20, 2012
Published electronically: June 5, 2014
Article copyright: © Copyright 2014 American Mathematical Society