Mathematics of Computation

Author(s): Tuomas Hakkarainen.
Journal: Math. Comp. 78 (2009), 555-573.
MSC (2000): Primary 11R29, 11Y40; Secondary 11R20, 11R27
Posted: September 4, 2008
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Abstract: In this paper we give a procedure to search for prime divisors of class numbers of real abelian fields and present a table of odd primes

not dividing the degree that divide the class numbers of fields of conductor $\leq 2000$ . Cohen-Lenstra heuristics allow us to conjecture that no larger prime divisors should exist. Previous computations have been largely limited to prime power conductors.

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Retrieve articles in Mathematics of Computation with MSC (2000): 11R29, 11Y40, 11R20, 11R27

Tuomas Hakkarainen
Affiliation: Department of Mathematics & TUCS, Turku Centre for Computer Science, University of Turku, FI-20014 Turku, Finland

DOI: 10.1090/S0025-5718-08-02169-8
PII: S 0025-5718(08)02169-8
Keywords: Class numbers, computation, abelian fields, units
Received by editor(s): April 28, 2006
Posted: September 4, 2008
Additional Notes: This work was financially supported by the Turku Centre for Computer Science, TUCS
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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