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On the divisibility of the class number of imaginary quadratic number fields
Author(s):
Stéphane
R.
Louboutin
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4025-4028.
MSC (2000):
Primary 11R29;
Secondary 11R11
Posted:
July 22, 2009
MathSciNet review:
2538563
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Abstract:
We prove that if at least one of the prime divisors of an odd integer  is equal to  mod  , then the ideal class group of the imaginary quadratic field  contains an element of order  .
References:
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- [So]
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Additional Information:
Stéphane
R.
Louboutin
Affiliation:
Institut de Mathématiques de Luminy, UMR 6206, 163, avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France
Email:
loubouti@iml.univ-mrs.fr
DOI:
10.1090/S0002-9939-09-10021-7
PII:
S 0002-9939(09)10021-7
Keywords:
Class number,
imaginary quadratic field,
divisibility
Received by editor(s):
March 20, 2009,
Received by editor(s) in revised form:
April 9, 2009
Posted:
July 22, 2009
Communicated by:
Ken Ono
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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